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Finding the Fourth Proportional to 23,473.88, 32,394.70 and 12,864.16

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Solution

The fourth proportional to 23,473.88, 32,394.70 and 12,864.16 is: 17,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.88 : 32,394.70 = 12,864.16 : x
  2. Step 2: Convert to fraction form
    23,473.88/32,394.70 = 12,864.16/x
  3. Step 3: Cross multiply
    23,473.88x = 32,394.70 × 12,864.16
  4. Step 4: Simplify right side
    23,473.88x = 416,730,603.95
  5. Step 5: Solve for x
    x = 416,730,603.95/23,473.88
  6. Step 6: Final answer
    x = 17,752.95

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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.