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Finding the Fourth Proportional to 12,523.29, 17,282.15 and 7,807.56

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Solution

The fourth proportional to 12,523.29, 17,282.15 and 7,807.56 is: 10,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.29 : 17,282.15 = 7,807.56 : x
  2. Step 2: Convert to fraction form
    12,523.29/17,282.15 = 7,807.56/x
  3. Step 3: Cross multiply
    12,523.29x = 17,282.15 × 7,807.56
  4. Step 4: Simplify right side
    12,523.29x = 134,931,423.05
  5. Step 5: Solve for x
    x = 134,931,423.05/12,523.29
  6. Step 6: Final answer
    x = 10,774.44

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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.