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Finding the Fourth Proportional to 25,034.98, 37,540.47 and 9,442.66

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Solution

The fourth proportional to 25,034.98, 37,540.47 and 9,442.66 is: 14,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,034.98 : 37,540.47 = 9,442.66 : x
  2. Step 2: Convert to fraction form
    25,034.98/37,540.47 = 9,442.66/x
  3. Step 3: Cross multiply
    25,034.98x = 37,540.47 × 9,442.66
  4. Step 4: Simplify right side
    25,034.98x = 354,481,894.45
  5. Step 5: Solve for x
    x = 354,481,894.45/25,034.98
  6. Step 6: Final answer
    x = 14,159.46

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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.