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Finding the Fourth Proportional to 23,017.57, 31,765.40 and 12,949.18

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Solution

The fourth proportional to 23,017.57, 31,765.40 and 12,949.18 is: 17,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,017.57 : 31,765.40 = 12,949.18 : x
  2. Step 2: Convert to fraction form
    23,017.57/31,765.40 = 12,949.18/x
  3. Step 3: Cross multiply
    23,017.57x = 31,765.40 × 12,949.18
  4. Step 4: Simplify right side
    23,017.57x = 411,335,882.37
  5. Step 5: Solve for x
    x = 411,335,882.37/23,017.57
  6. Step 6: Final answer
    x = 17,870.52

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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.