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Finding the Fourth Proportional to 14,568.16, 20,102.16 and 8,280.40

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Solution

The fourth proportional to 14,568.16, 20,102.16 and 8,280.40 is: 11,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.16 : 20,102.16 = 8,280.40 : x
  2. Step 2: Convert to fraction form
    14,568.16/20,102.16 = 8,280.40/x
  3. Step 3: Cross multiply
    14,568.16x = 20,102.16 × 8,280.40
  4. Step 4: Simplify right side
    14,568.16x = 166,453,925.66
  5. Step 5: Solve for x
    x = 166,453,925.66/14,568.16
  6. Step 6: Final answer
    x = 11,425.87

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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.