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Finding the Fourth Proportional to 27,574.16, 38,065.56 and 16,972.88

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Solution

The fourth proportional to 27,574.16, 38,065.56 and 16,972.88 is: 23,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.16 : 38,065.56 = 16,972.88 : x
  2. Step 2: Convert to fraction form
    27,574.16/38,065.56 = 16,972.88/x
  3. Step 3: Cross multiply
    27,574.16x = 38,065.56 × 16,972.88
  4. Step 4: Simplify right side
    27,574.16x = 646,082,182.01
  5. Step 5: Solve for x
    x = 646,082,182.01/27,574.16
  6. Step 6: Final answer
    x = 23,430.71

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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.