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Finding the Fourth Proportional to 14,704.16, 20,294.16 and 10,738.40

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Solution

The fourth proportional to 14,704.16, 20,294.16 and 10,738.40 is: 14,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.16 : 20,294.16 = 10,738.40 : x
  2. Step 2: Convert to fraction form
    14,704.16/20,294.16 = 10,738.40/x
  3. Step 3: Cross multiply
    14,704.16x = 20,294.16 × 10,738.40
  4. Step 4: Simplify right side
    14,704.16x = 217,926,807.74
  5. Step 5: Solve for x
    x = 217,926,807.74/14,704.16
  6. Step 6: Final answer
    x = 14,820.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.