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Finding the Fourth Proportional to 15,565.68, 23,343.48 and 5,175

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Solution

The fourth proportional to 15,565.68, 23,343.48 and 5,175 is: 7,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.68 : 23,343.48 = 5,175 : x
  2. Step 2: Convert to fraction form
    15,565.68/23,343.48 = 5,175/x
  3. Step 3: Cross multiply
    15,565.68x = 23,343.48 × 5,175
  4. Step 4: Simplify right side
    15,565.68x = 120,802,509
  5. Step 5: Solve for x
    x = 120,802,509/15,565.68
  6. Step 6: Final answer
    x = 7,760.82

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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.