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Finding the Fourth Proportional to 12,864.42, 17,752.77 and 8,152.56

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Solution

The fourth proportional to 12,864.42, 17,752.77 and 8,152.56 is: 11,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.42 : 17,752.77 = 8,152.56 : x
  2. Step 2: Convert to fraction form
    12,864.42/17,752.77 = 8,152.56/x
  3. Step 3: Cross multiply
    12,864.42x = 17,752.77 × 8,152.56
  4. Step 4: Simplify right side
    12,864.42x = 144,730,522.59
  5. Step 5: Solve for x
    x = 144,730,522.59/12,864.42
  6. Step 6: Final answer
    x = 11,250.45

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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.