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Finding the Fourth Proportional to 37,897.68, 56,854.74 and 14,524.14

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Solution

The fourth proportional to 37,897.68, 56,854.74 and 14,524.14 is: 21,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897.68 : 56,854.74 = 14,524.14 : x
  2. Step 2: Convert to fraction form
    37,897.68/56,854.74 = 14,524.14/x
  3. Step 3: Cross multiply
    37,897.68x = 56,854.74 × 14,524.14
  4. Step 4: Simplify right side
    37,897.68x = 825,766,203.42
  5. Step 5: Solve for x
    x = 825,766,203.42/37,897.68
  6. Step 6: Final answer
    x = 21,789.36

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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.