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Finding the Fourth Proportional to 15,728.34, 21,705.11 and 8,654.61

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Solution

The fourth proportional to 15,728.34, 21,705.11 and 8,654.61 is: 11,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.34 : 21,705.11 = 8,654.61 : x
  2. Step 2: Convert to fraction form
    15,728.34/21,705.11 = 8,654.61/x
  3. Step 3: Cross multiply
    15,728.34x = 21,705.11 × 8,654.61
  4. Step 4: Simplify right side
    15,728.34x = 187,849,381.32
  5. Step 5: Solve for x
    x = 187,849,381.32/15,728.34
  6. Step 6: Final answer
    x = 11,943.37

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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.