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Finding the Fourth Proportional to 25,572.84, 38,365.40 and 8,042.64

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Solution

The fourth proportional to 25,572.84, 38,365.40 and 8,042.64 is: 12,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.84 : 38,365.40 = 8,042.64 : x
  2. Step 2: Convert to fraction form
    25,572.84/38,365.40 = 8,042.64/x
  3. Step 3: Cross multiply
    25,572.84x = 38,365.40 × 8,042.64
  4. Step 4: Simplify right side
    25,572.84x = 308,559,100.66
  5. Step 5: Solve for x
    x = 308,559,100.66/25,572.84
  6. Step 6: Final answer
    x = 12,065.89

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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.