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Finding the Fourth Proportional to 15,686.52, 23,533.38 and 5,157.43

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Solution

The fourth proportional to 15,686.52, 23,533.38 and 5,157.43 is: 7,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.52 : 23,533.38 = 5,157.43 : x
  2. Step 2: Convert to fraction form
    15,686.52/23,533.38 = 5,157.43/x
  3. Step 3: Cross multiply
    15,686.52x = 23,533.38 × 5,157.43
  4. Step 4: Simplify right side
    15,686.52x = 121,371,760.01
  5. Step 5: Solve for x
    x = 121,371,760.01/15,686.52
  6. Step 6: Final answer
    x = 7,737.33

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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.