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Finding the Fourth Proportional to 12,529.08, 17,291.88 and 7,814.88

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Solution

The fourth proportional to 12,529.08, 17,291.88 and 7,814.88 is: 10,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.08 : 17,291.88 = 7,814.88 : x
  2. Step 2: Convert to fraction form
    12,529.08/17,291.88 = 7,814.88/x
  3. Step 3: Cross multiply
    12,529.08x = 17,291.88 × 7,814.88
  4. Step 4: Simplify right side
    12,529.08x = 135,133,967.17
  5. Step 5: Solve for x
    x = 135,133,967.17/12,529.08
  6. Step 6: Final answer
    x = 10,785.63

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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.