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Finding the Fourth Proportional to 14,319.81, 19,761.45 and 7,946.43

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Solution

The fourth proportional to 14,319.81, 19,761.45 and 7,946.43 is: 10,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.81 : 19,761.45 = 7,946.43 : x
  2. Step 2: Convert to fraction form
    14,319.81/19,761.45 = 7,946.43/x
  3. Step 3: Cross multiply
    14,319.81x = 19,761.45 × 7,946.43
  4. Step 4: Simplify right side
    14,319.81x = 157,032,979.12
  5. Step 5: Solve for x
    x = 157,032,979.12/14,319.81
  6. Step 6: Final answer
    x = 10,966.14

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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.