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Finding the Fourth Proportional to 25,203, 34,780.16 and 14,593.20

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Solution

The fourth proportional to 25,203, 34,780.16 and 14,593.20 is: 20,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203 : 34,780.16 = 14,593.20 : x
  2. Step 2: Convert to fraction form
    25,203/34,780.16 = 14,593.20/x
  3. Step 3: Cross multiply
    25,203x = 34,780.16 × 14,593.20
  4. Step 4: Simplify right side
    25,203x = 507,553,830.91
  5. Step 5: Solve for x
    x = 507,553,830.91/25,203
  6. Step 6: Final answer
    x = 20,138.63

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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.