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Finding the Fourth Proportional to 14,803.16, 20,429.08 and 9,505.15

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Solution

The fourth proportional to 14,803.16, 20,429.08 and 9,505.15 is: 13,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.16 : 20,429.08 = 9,505.15 : x
  2. Step 2: Convert to fraction form
    14,803.16/20,429.08 = 9,505.15/x
  3. Step 3: Cross multiply
    14,803.16x = 20,429.08 × 9,505.15
  4. Step 4: Simplify right side
    14,803.16x = 194,181,394.93
  5. Step 5: Solve for x
    x = 194,181,394.93/14,803.16
  6. Step 6: Final answer
    x = 13,117.57

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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.