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Finding the Fourth Proportional to 15,565.20, 23,335.92 and 7,779.48

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Solution

The fourth proportional to 15,565.20, 23,335.92 and 7,779.48 is: 11,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.20 : 23,335.92 = 7,779.48 : x
  2. Step 2: Convert to fraction form
    15,565.20/23,335.92 = 7,779.48/x
  3. Step 3: Cross multiply
    15,565.20x = 23,335.92 × 7,779.48
  4. Step 4: Simplify right side
    15,565.20x = 181,541,322.92
  5. Step 5: Solve for x
    x = 181,541,322.92/15,565.20
  6. Step 6: Final answer
    x = 11,663.28

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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.