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Finding the Fourth Proportional to 22,586.68, 31,168.78 and 13,026.98

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Solution

The fourth proportional to 22,586.68, 31,168.78 and 13,026.98 is: 17,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.68 : 31,168.78 = 13,026.98 : x
  2. Step 2: Convert to fraction form
    22,586.68/31,168.78 = 13,026.98/x
  3. Step 3: Cross multiply
    22,586.68x = 31,168.78 × 13,026.98
  4. Step 4: Simplify right side
    22,586.68x = 406,035,016.99
  5. Step 5: Solve for x
    x = 406,035,016.99/22,586.68
  6. Step 6: Final answer
    x = 17,976.75

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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.