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Finding the Fourth Proportional to 19,822.59, 29,724.21 and 9,815.76

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Solution

The fourth proportional to 19,822.59, 29,724.21 and 9,815.76 is: 14,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.59 : 29,724.21 = 9,815.76 : x
  2. Step 2: Convert to fraction form
    19,822.59/29,724.21 = 9,815.76/x
  3. Step 3: Cross multiply
    19,822.59x = 29,724.21 × 9,815.76
  4. Step 4: Simplify right side
    19,822.59x = 291,765,711.55
  5. Step 5: Solve for x
    x = 291,765,711.55/19,822.59
  6. Step 6: Final answer
    x = 14,718.85

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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.