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Finding the Fourth Proportional to 38,672.80, 58,009.20 and 12,378.40

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Solution

The fourth proportional to 38,672.80, 58,009.20 and 12,378.40 is: 18,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,672.80 : 58,009.20 = 12,378.40 : x
  2. Step 2: Convert to fraction form
    38,672.80/58,009.20 = 12,378.40/x
  3. Step 3: Cross multiply
    38,672.80x = 58,009.20 × 12,378.40
  4. Step 4: Simplify right side
    38,672.80x = 718,061,081.28
  5. Step 5: Solve for x
    x = 718,061,081.28/38,672.80
  6. Step 6: Final answer
    x = 18,567.60

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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.