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Finding the Fourth Proportional to 15,713.38, 21,685.08 and 8,640.46

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Solution

The fourth proportional to 15,713.38, 21,685.08 and 8,640.46 is: 11,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.38 : 21,685.08 = 8,640.46 : x
  2. Step 2: Convert to fraction form
    15,713.38/21,685.08 = 8,640.46/x
  3. Step 3: Cross multiply
    15,713.38x = 21,685.08 × 8,640.46
  4. Step 4: Simplify right side
    15,713.38x = 187,369,066.34
  5. Step 5: Solve for x
    x = 187,369,066.34/15,713.38
  6. Step 6: Final answer
    x = 11,924.17

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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.