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Finding the Fourth Proportional to 24,585.60, 36,878.40 and 9,014.40

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Solution

The fourth proportional to 24,585.60, 36,878.40 and 9,014.40 is: 13,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.60 : 36,878.40 = 9,014.40 : x
  2. Step 2: Convert to fraction form
    24,585.60/36,878.40 = 9,014.40/x
  3. Step 3: Cross multiply
    24,585.60x = 36,878.40 × 9,014.40
  4. Step 4: Simplify right side
    24,585.60x = 332,436,648.96
  5. Step 5: Solve for x
    x = 332,436,648.96/24,585.60
  6. Step 6: Final answer
    x = 13,521.60

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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.