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Finding the Fourth Proportional to 15,648.29, 21,591.12 and 8,931.77

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Solution

The fourth proportional to 15,648.29, 21,591.12 and 8,931.77 is: 12,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.29 : 21,591.12 = 8,931.77 : x
  2. Step 2: Convert to fraction form
    15,648.29/21,591.12 = 8,931.77/x
  3. Step 3: Cross multiply
    15,648.29x = 21,591.12 × 8,931.77
  4. Step 4: Simplify right side
    15,648.29x = 192,846,809.93
  5. Step 5: Solve for x
    x = 192,846,809.93/15,648.29
  6. Step 6: Final answer
    x = 12,323.83

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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.