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Finding the Fourth Proportional to 12,864.12, 17,752.68 and 7,199.16

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Solution

The fourth proportional to 12,864.12, 17,752.68 and 7,199.16 is: 9,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.12 : 17,752.68 = 7,199.16 : x
  2. Step 2: Convert to fraction form
    12,864.12/17,752.68 = 7,199.16/x
  3. Step 3: Cross multiply
    12,864.12x = 17,752.68 × 7,199.16
  4. Step 4: Simplify right side
    12,864.12x = 127,804,383.75
  5. Step 5: Solve for x
    x = 127,804,383.75/12,864.12
  6. Step 6: Final answer
    x = 9,934.95

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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.