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Finding the Fourth Proportional to 14,233.78, 19,641.45 and 7,946.02

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Solution

The fourth proportional to 14,233.78, 19,641.45 and 7,946.02 is: 10,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.78 : 19,641.45 = 7,946.02 : x
  2. Step 2: Convert to fraction form
    14,233.78/19,641.45 = 7,946.02/x
  3. Step 3: Cross multiply
    14,233.78x = 19,641.45 × 7,946.02
  4. Step 4: Simplify right side
    14,233.78x = 156,071,354.53
  5. Step 5: Solve for x
    x = 156,071,354.53/14,233.78
  6. Step 6: Final answer
    x = 10,964.86

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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.