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Finding the Fourth Proportional to 25,600.60, 38,402.10 and 8,071.78

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Solution

The fourth proportional to 25,600.60, 38,402.10 and 8,071.78 is: 12,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.60 : 38,402.10 = 8,071.78 : x
  2. Step 2: Convert to fraction form
    25,600.60/38,402.10 = 8,071.78/x
  3. Step 3: Cross multiply
    25,600.60x = 38,402.10 × 8,071.78
  4. Step 4: Simplify right side
    25,600.60x = 309,973,302.74
  5. Step 5: Solve for x
    x = 309,973,302.74/25,600.60
  6. Step 6: Final answer
    x = 12,108.05

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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.