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Finding the Fourth Proportional to 12,972.29, 17,895.53 and 8,494.07

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Solution

The fourth proportional to 12,972.29, 17,895.53 and 8,494.07 is: 11,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.29 : 17,895.53 = 8,494.07 : x
  2. Step 2: Convert to fraction form
    12,972.29/17,895.53 = 8,494.07/x
  3. Step 3: Cross multiply
    12,972.29x = 17,895.53 × 8,494.07
  4. Step 4: Simplify right side
    12,972.29x = 152,005,816.26
  5. Step 5: Solve for x
    x = 152,005,816.26/12,972.29
  6. Step 6: Final answer
    x = 11,717.74

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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.