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Finding the Fourth Proportional to 15,214.60, 22,821.90 and 9,965.80

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Solution

The fourth proportional to 15,214.60, 22,821.90 and 9,965.80 is: 14,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.60 : 22,821.90 = 9,965.80 : x
  2. Step 2: Convert to fraction form
    15,214.60/22,821.90 = 9,965.80/x
  3. Step 3: Cross multiply
    15,214.60x = 22,821.90 × 9,965.80
  4. Step 4: Simplify right side
    15,214.60x = 227,438,491.02
  5. Step 5: Solve for x
    x = 227,438,491.02/15,214.60
  6. Step 6: Final answer
    x = 14,948.70

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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.