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Finding the Fourth Proportional to 25,687.17, 35,448.30 and 14,357.13

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Solution

The fourth proportional to 25,687.17, 35,448.30 and 14,357.13 is: 19,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687.17 : 35,448.30 = 14,357.13 : x
  2. Step 2: Convert to fraction form
    25,687.17/35,448.30 = 14,357.13/x
  3. Step 3: Cross multiply
    25,687.17x = 35,448.30 × 14,357.13
  4. Step 4: Simplify right side
    25,687.17x = 508,935,851.38
  5. Step 5: Solve for x
    x = 508,935,851.38/25,687.17
  6. Step 6: Final answer
    x = 19,812.84

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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.