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Finding the Fourth Proportional to 31,017.72, 42,806.67 and 17,590.14

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Solution

The fourth proportional to 31,017.72, 42,806.67 and 17,590.14 is: 24,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.72 : 42,806.67 = 17,590.14 : x
  2. Step 2: Convert to fraction form
    31,017.72/42,806.67 = 17,590.14/x
  3. Step 3: Cross multiply
    31,017.72x = 42,806.67 × 17,590.14
  4. Step 4: Simplify right side
    31,017.72x = 752,975,318.23
  5. Step 5: Solve for x
    x = 752,975,318.23/31,017.72
  6. Step 6: Final answer
    x = 24,275.65

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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.