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Finding the Fourth Proportional to 29,885.66, 41,242.20 and 16,456.88

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Solution

The fourth proportional to 29,885.66, 41,242.20 and 16,456.88 is: 22,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,885.66 : 41,242.20 = 16,456.88 : x
  2. Step 2: Convert to fraction form
    29,885.66/41,242.20 = 16,456.88/x
  3. Step 3: Cross multiply
    29,885.66x = 41,242.20 × 16,456.88
  4. Step 4: Simplify right side
    29,885.66x = 678,717,730.13
  5. Step 5: Solve for x
    x = 678,717,730.13/29,885.66
  6. Step 6: Final answer
    x = 22,710.49

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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.