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Finding the Fourth Proportional to 25,185.52, 37,780.44 and 9,385.66

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Solution

The fourth proportional to 25,185.52, 37,780.44 and 9,385.66 is: 14,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.52 : 37,780.44 = 9,385.66 : x
  2. Step 2: Convert to fraction form
    25,185.52/37,780.44 = 9,385.66/x
  3. Step 3: Cross multiply
    25,185.52x = 37,780.44 × 9,385.66
  4. Step 4: Simplify right side
    25,185.52x = 354,594,364.49
  5. Step 5: Solve for x
    x = 354,594,364.49/25,185.52
  6. Step 6: Final answer
    x = 14,079.29

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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.