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Finding the Fourth Proportional to 16,586.71, 22,892.93 and 9,871.00

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Solution

The fourth proportional to 16,586.71, 22,892.93 and 9,871.00 is: 13,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.71 : 22,892.93 = 9,871.00 : x
  2. Step 2: Convert to fraction form
    16,586.71/22,892.93 = 9,871.00/x
  3. Step 3: Cross multiply
    16,586.71x = 22,892.93 × 9,871.00
  4. Step 4: Simplify right side
    16,586.71x = 225,976,042.46
  5. Step 5: Solve for x
    x = 225,976,042.46/16,586.71
  6. Step 6: Final answer
    x = 13,623.92

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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.