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Finding the Fourth Proportional to 27,067.63, 40,600.53 and 9,537

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Solution

The fourth proportional to 27,067.63, 40,600.53 and 9,537 is: 14,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.63 : 40,600.53 = 9,537 : x
  2. Step 2: Convert to fraction form
    27,067.63/40,600.53 = 9,537/x
  3. Step 3: Cross multiply
    27,067.63x = 40,600.53 × 9,537
  4. Step 4: Simplify right side
    27,067.63x = 387,207,254.61
  5. Step 5: Solve for x
    x = 387,207,254.61/27,067.63
  6. Step 6: Final answer
    x = 14,305.18

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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.