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Finding the Fourth Proportional to 16,090.76, 24,132.49 and 5,702.51

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Solution

The fourth proportional to 16,090.76, 24,132.49 and 5,702.51 is: 8,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.76 : 24,132.49 = 5,702.51 : x
  2. Step 2: Convert to fraction form
    16,090.76/24,132.49 = 5,702.51/x
  3. Step 3: Cross multiply
    16,090.76x = 24,132.49 × 5,702.51
  4. Step 4: Simplify right side
    16,090.76x = 137,615,765.55
  5. Step 5: Solve for x
    x = 137,615,765.55/16,090.76
  6. Step 6: Final answer
    x = 8,552.47

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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.