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Finding the Fourth Proportional to 24,148.40, 36,222.60 and 13,780.40

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Solution

The fourth proportional to 24,148.40, 36,222.60 and 13,780.40 is: 20,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.40 : 36,222.60 = 13,780.40 : x
  2. Step 2: Convert to fraction form
    24,148.40/36,222.60 = 13,780.40/x
  3. Step 3: Cross multiply
    24,148.40x = 36,222.60 × 13,780.40
  4. Step 4: Simplify right side
    24,148.40x = 499,161,917.04
  5. Step 5: Solve for x
    x = 499,161,917.04/24,148.40
  6. Step 6: Final answer
    x = 20,670.60

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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.