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Finding the Fourth Proportional to 23,019.24, 31,765.86 and 12,948.24

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Solution

The fourth proportional to 23,019.24, 31,765.86 and 12,948.24 is: 17,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.24 : 31,765.86 = 12,948.24 : x
  2. Step 2: Convert to fraction form
    23,019.24/31,765.86 = 12,948.24/x
  3. Step 3: Cross multiply
    23,019.24x = 31,765.86 × 12,948.24
  4. Step 4: Simplify right side
    23,019.24x = 411,311,979.09
  5. Step 5: Solve for x
    x = 411,311,979.09/23,019.24
  6. Step 6: Final answer
    x = 17,868.18

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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.