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Finding the Fourth Proportional to 12,402.96, 17,122.41 and 7,870.26

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Solution

The fourth proportional to 12,402.96, 17,122.41 and 7,870.26 is: 10,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.96 : 17,122.41 = 7,870.26 : x
  2. Step 2: Convert to fraction form
    12,402.96/17,122.41 = 7,870.26/x
  3. Step 3: Cross multiply
    12,402.96x = 17,122.41 × 7,870.26
  4. Step 4: Simplify right side
    12,402.96x = 134,757,818.53
  5. Step 5: Solve for x
    x = 134,757,818.53/12,402.96
  6. Step 6: Final answer
    x = 10,864.97

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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.