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Finding the Fourth Proportional to 22,742.40, 34,148.80 and 12,374.40

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Solution

The fourth proportional to 22,742.40, 34,148.80 and 12,374.40 is: 18,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.40 : 34,148.80 = 12,374.40 : x
  2. Step 2: Convert to fraction form
    22,742.40/34,148.80 = 12,374.40/x
  3. Step 3: Cross multiply
    22,742.40x = 34,148.80 × 12,374.40
  4. Step 4: Simplify right side
    22,742.40x = 422,570,910.72
  5. Step 5: Solve for x
    x = 422,570,910.72/22,742.40
  6. Step 6: Final answer
    x = 18,580.75

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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.