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Finding the Fourth Proportional to 41,142.84, 61,714.35 and 14,866.14

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Solution

The fourth proportional to 41,142.84, 61,714.35 and 14,866.14 is: 22,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.84 : 61,714.35 = 14,866.14 : x
  2. Step 2: Convert to fraction form
    41,142.84/61,714.35 = 14,866.14/x
  3. Step 3: Cross multiply
    41,142.84x = 61,714.35 × 14,866.14
  4. Step 4: Simplify right side
    41,142.84x = 917,454,167.11
  5. Step 5: Solve for x
    x = 917,454,167.11/41,142.84
  6. Step 6: Final answer
    x = 22,299.24

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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.