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Finding the Fourth Proportional to 24,537.60, 36,806.40 and 12,854.40

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Solution

The fourth proportional to 24,537.60, 36,806.40 and 12,854.40 is: 19,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.60 : 36,806.40 = 12,854.40 : x
  2. Step 2: Convert to fraction form
    24,537.60/36,806.40 = 12,854.40/x
  3. Step 3: Cross multiply
    24,537.60x = 36,806.40 × 12,854.40
  4. Step 4: Simplify right side
    24,537.60x = 473,124,188.16
  5. Step 5: Solve for x
    x = 473,124,188.16/24,537.60
  6. Step 6: Final answer
    x = 19,281.60

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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.