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Finding the Fourth Proportional to 15,863.59, 21,894.47 and 9,148.02

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Solution

The fourth proportional to 15,863.59, 21,894.47 and 9,148.02 is: 12,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.59 : 21,894.47 = 9,148.02 : x
  2. Step 2: Convert to fraction form
    15,863.59/21,894.47 = 9,148.02/x
  3. Step 3: Cross multiply
    15,863.59x = 21,894.47 × 9,148.02
  4. Step 4: Simplify right side
    15,863.59x = 200,291,049.45
  5. Step 5: Solve for x
    x = 200,291,049.45/15,863.59
  6. Step 6: Final answer
    x = 12,625.83

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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.