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Finding the Fourth Proportional to 38,539.60, 57,809.40 and 12,246.40

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Solution

The fourth proportional to 38,539.60, 57,809.40 and 12,246.40 is: 18,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.60 : 57,809.40 = 12,246.40 : x
  2. Step 2: Convert to fraction form
    38,539.60/57,809.40 = 12,246.40/x
  3. Step 3: Cross multiply
    38,539.60x = 57,809.40 × 12,246.40
  4. Step 4: Simplify right side
    38,539.60x = 707,957,036.16
  5. Step 5: Solve for x
    x = 707,957,036.16/38,539.60
  6. Step 6: Final answer
    x = 18,369.60

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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.