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Finding the Fourth Proportional to 14,456.68, 19,951.14 and 10,033

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Solution

The fourth proportional to 14,456.68, 19,951.14 and 10,033 is: 13,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.68 : 19,951.14 = 10,033 : x
  2. Step 2: Convert to fraction form
    14,456.68/19,951.14 = 10,033/x
  3. Step 3: Cross multiply
    14,456.68x = 19,951.14 × 10,033
  4. Step 4: Simplify right side
    14,456.68x = 200,169,787.62
  5. Step 5: Solve for x
    x = 200,169,787.62/14,456.68
  6. Step 6: Final answer
    x = 13,846.18

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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.