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Finding the Fourth Proportional to 12,404.64, 17,115.99 and 7,924.95

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Solution

The fourth proportional to 12,404.64, 17,115.99 and 7,924.95 is: 10,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.64 : 17,115.99 = 7,924.95 : x
  2. Step 2: Convert to fraction form
    12,404.64/17,115.99 = 7,924.95/x
  3. Step 3: Cross multiply
    12,404.64x = 17,115.99 × 7,924.95
  4. Step 4: Simplify right side
    12,404.64x = 135,643,364.95
  5. Step 5: Solve for x
    x = 135,643,364.95/12,404.64
  6. Step 6: Final answer
    x = 10,934.89

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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.