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Finding the Fourth Proportional to 19,730.97, 29,612.16 and 10,376.46

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Solution

The fourth proportional to 19,730.97, 29,612.16 and 10,376.46 is: 15,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.97 : 29,612.16 = 10,376.46 : x
  2. Step 2: Convert to fraction form
    19,730.97/29,612.16 = 10,376.46/x
  3. Step 3: Cross multiply
    19,730.97x = 29,612.16 × 10,376.46
  4. Step 4: Simplify right side
    19,730.97x = 307,269,393.75
  5. Step 5: Solve for x
    x = 307,269,393.75/19,730.97
  6. Step 6: Final answer
    x = 15,572.95

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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.