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Finding the Fourth Proportional to 24,822.40, 37,233.60 and 14,281.60

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Solution

The fourth proportional to 24,822.40, 37,233.60 and 14,281.60 is: 21,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.40 : 37,233.60 = 14,281.60 : x
  2. Step 2: Convert to fraction form
    24,822.40/37,233.60 = 14,281.60/x
  3. Step 3: Cross multiply
    24,822.40x = 37,233.60 × 14,281.60
  4. Step 4: Simplify right side
    24,822.40x = 531,755,381.76
  5. Step 5: Solve for x
    x = 531,755,381.76/24,822.40
  6. Step 6: Final answer
    x = 21,422.40

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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.