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Finding the Fourth Proportional to 15,715.13, 21,686.90 and 8,641.40

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Solution

The fourth proportional to 15,715.13, 21,686.90 and 8,641.40 is: 11,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.13 : 21,686.90 = 8,641.40 : x
  2. Step 2: Convert to fraction form
    15,715.13/21,686.90 = 8,641.40/x
  3. Step 3: Cross multiply
    15,715.13x = 21,686.90 × 8,641.40
  4. Step 4: Simplify right side
    15,715.13x = 187,405,026.02
  5. Step 5: Solve for x
    x = 187,405,026.02/15,715.13
  6. Step 6: Final answer
    x = 11,925.14

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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.