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Finding the Fourth Proportional to 24,644.40, 36,966.60 and 7,114.80

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Solution

The fourth proportional to 24,644.40, 36,966.60 and 7,114.80 is: 10,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.40 : 36,966.60 = 7,114.80 : x
  2. Step 2: Convert to fraction form
    24,644.40/36,966.60 = 7,114.80/x
  3. Step 3: Cross multiply
    24,644.40x = 36,966.60 × 7,114.80
  4. Step 4: Simplify right side
    24,644.40x = 263,009,965.68
  5. Step 5: Solve for x
    x = 263,009,965.68/24,644.40
  6. Step 6: Final answer
    x = 10,672.20

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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.