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Finding the Fourth Proportional to 22,981.60, 34,472.40 and 9,835.30

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Solution

The fourth proportional to 22,981.60, 34,472.40 and 9,835.30 is: 14,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.60 : 34,472.40 = 9,835.30 : x
  2. Step 2: Convert to fraction form
    22,981.60/34,472.40 = 9,835.30/x
  3. Step 3: Cross multiply
    22,981.60x = 34,472.40 × 9,835.30
  4. Step 4: Simplify right side
    22,981.60x = 339,046,395.72
  5. Step 5: Solve for x
    x = 339,046,395.72/22,981.60
  6. Step 6: Final answer
    x = 14,752.95

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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.