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Finding the Fourth Proportional to 23,082.98, 31,854.72 and 13,010.52

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Solution

The fourth proportional to 23,082.98, 31,854.72 and 13,010.52 is: 17,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.98 : 31,854.72 = 13,010.52 : x
  2. Step 2: Convert to fraction form
    23,082.98/31,854.72 = 13,010.52/x
  3. Step 3: Cross multiply
    23,082.98x = 31,854.72 × 13,010.52
  4. Step 4: Simplify right side
    23,082.98x = 414,446,566.71
  5. Step 5: Solve for x
    x = 414,446,566.71/23,082.98
  6. Step 6: Final answer
    x = 17,954.64

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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.