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Finding the Fourth Proportional to 27,589.68, 38,073.24 and 15,014.16

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Solution

The fourth proportional to 27,589.68, 38,073.24 and 15,014.16 is: 20,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.68 : 38,073.24 = 15,014.16 : x
  2. Step 2: Convert to fraction form
    27,589.68/38,073.24 = 15,014.16/x
  3. Step 3: Cross multiply
    27,589.68x = 38,073.24 × 15,014.16
  4. Step 4: Simplify right side
    27,589.68x = 571,637,717.08
  5. Step 5: Solve for x
    x = 571,637,717.08/27,589.68
  6. Step 6: Final answer
    x = 20,719.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.