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Finding the Fourth Proportional to 27,419.59, 41,130.23 and 9,407.57

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Solution

The fourth proportional to 27,419.59, 41,130.23 and 9,407.57 is: 14,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.59 : 41,130.23 = 9,407.57 : x
  2. Step 2: Convert to fraction form
    27,419.59/41,130.23 = 9,407.57/x
  3. Step 3: Cross multiply
    27,419.59x = 41,130.23 × 9,407.57
  4. Step 4: Simplify right side
    27,419.59x = 386,935,265.15
  5. Step 5: Solve for x
    x = 386,935,265.15/27,419.59
  6. Step 6: Final answer
    x = 14,111.64

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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.