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Finding the Fourth Proportional to 15,868.40, 21,897.63 and 9,156.18

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Solution

The fourth proportional to 15,868.40, 21,897.63 and 9,156.18 is: 12,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,868.40 : 21,897.63 = 9,156.18 : x
  2. Step 2: Convert to fraction form
    15,868.40/21,897.63 = 9,156.18/x
  3. Step 3: Cross multiply
    15,868.40x = 21,897.63 × 9,156.18
  4. Step 4: Simplify right side
    15,868.40x = 200,498,641.85
  5. Step 5: Solve for x
    x = 200,498,641.85/15,868.40
  6. Step 6: Final answer
    x = 12,635.09

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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.