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Finding the Fourth Proportional to 12,357.66, 17,035.74 and 8,158.62

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Solution

The fourth proportional to 12,357.66, 17,035.74 and 8,158.62 is: 11,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.66 : 17,035.74 = 8,158.62 : x
  2. Step 2: Convert to fraction form
    12,357.66/17,035.74 = 8,158.62/x
  3. Step 3: Cross multiply
    12,357.66x = 17,035.74 × 8,158.62
  4. Step 4: Simplify right side
    12,357.66x = 138,988,129.08
  5. Step 5: Solve for x
    x = 138,988,129.08/12,357.66
  6. Step 6: Final answer
    x = 11,247.12

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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.