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Finding the Fourth Proportional to 15,871.40, 21,901.69 and 9,156.63

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Solution

The fourth proportional to 15,871.40, 21,901.69 and 9,156.63 is: 12,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.40 : 21,901.69 = 9,156.63 : x
  2. Step 2: Convert to fraction form
    15,871.40/21,901.69 = 9,156.63/x
  3. Step 3: Cross multiply
    15,871.40x = 21,901.69 × 9,156.63
  4. Step 4: Simplify right side
    15,871.40x = 200,545,671.70
  5. Step 5: Solve for x
    x = 200,545,671.70/15,871.40
  6. Step 6: Final answer
    x = 12,635.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.