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Finding the Fourth Proportional to 15,565.63, 23,348.64 and 5,177.38

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Solution

The fourth proportional to 15,565.63, 23,348.64 and 5,177.38 is: 7,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.63 : 23,348.64 = 5,177.38 : x
  2. Step 2: Convert to fraction form
    15,565.63/23,348.64 = 5,177.38/x
  3. Step 3: Cross multiply
    15,565.63x = 23,348.64 × 5,177.38
  4. Step 4: Simplify right side
    15,565.63x = 120,884,665.02
  5. Step 5: Solve for x
    x = 120,884,665.02/15,565.63
  6. Step 6: Final answer
    x = 7,766.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.