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Finding the Fourth Proportional to 29,189.68, 40,281.60 and 16,442.82

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Solution

The fourth proportional to 29,189.68, 40,281.60 and 16,442.82 is: 22,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.68 : 40,281.60 = 16,442.82 : x
  2. Step 2: Convert to fraction form
    29,189.68/40,281.60 = 16,442.82/x
  3. Step 3: Cross multiply
    29,189.68x = 40,281.60 × 16,442.82
  4. Step 4: Simplify right side
    29,189.68x = 662,343,098.11
  5. Step 5: Solve for x
    x = 662,343,098.11/29,189.68
  6. Step 6: Final answer
    x = 22,691.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.