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Finding the Fourth Proportional to 14,823.60, 22,251.60 and 9,283.20

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Solution

The fourth proportional to 14,823.60, 22,251.60 and 9,283.20 is: 13,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.60 : 22,251.60 = 9,283.20 : x
  2. Step 2: Convert to fraction form
    14,823.60/22,251.60 = 9,283.20/x
  3. Step 3: Cross multiply
    14,823.60x = 22,251.60 × 9,283.20
  4. Step 4: Simplify right side
    14,823.60x = 206,566,053.12
  5. Step 5: Solve for x
    x = 206,566,053.12/14,823.60
  6. Step 6: Final answer
    x = 13,934.95

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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.