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Finding the Fourth Proportional to 17,877.16, 24,672.90 and 10,425.16

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Solution

The fourth proportional to 17,877.16, 24,672.90 and 10,425.16 is: 14,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.16 : 24,672.90 = 10,425.16 : x
  2. Step 2: Convert to fraction form
    17,877.16/24,672.90 = 10,425.16/x
  3. Step 3: Cross multiply
    17,877.16x = 24,672.90 × 10,425.16
  4. Step 4: Simplify right side
    17,877.16x = 257,218,930.16
  5. Step 5: Solve for x
    x = 257,218,930.16/17,877.16
  6. Step 6: Final answer
    x = 14,388.13

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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.