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Finding the Fourth Proportional to 15,572.64, 23,342.60 and 6,805.20

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Solution

The fourth proportional to 15,572.64, 23,342.60 and 6,805.20 is: 10,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,572.64 : 23,342.60 = 6,805.20 : x
  2. Step 2: Convert to fraction form
    15,572.64/23,342.60 = 6,805.20/x
  3. Step 3: Cross multiply
    15,572.64x = 23,342.60 × 6,805.20
  4. Step 4: Simplify right side
    15,572.64x = 158,851,061.52
  5. Step 5: Solve for x
    x = 158,851,061.52/15,572.64
  6. Step 6: Final answer
    x = 10,200.65

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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.