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Finding the Fourth Proportional to 27,419.88, 41,098.29 and 12,597.66

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Solution

The fourth proportional to 27,419.88, 41,098.29 and 12,597.66 is: 18,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.88 : 41,098.29 = 12,597.66 : x
  2. Step 2: Convert to fraction form
    27,419.88/41,098.29 = 12,597.66/x
  3. Step 3: Cross multiply
    27,419.88x = 41,098.29 × 12,597.66
  4. Step 4: Simplify right side
    27,419.88x = 517,742,236.76
  5. Step 5: Solve for x
    x = 517,742,236.76/27,419.88
  6. Step 6: Final answer
    x = 18,882.00

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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.