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Finding the Fourth Proportional to 22,759.40, 31,408.13 and 12,688.49

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Solution

The fourth proportional to 22,759.40, 31,408.13 and 12,688.49 is: 17,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.40 : 31,408.13 = 12,688.49 : x
  2. Step 2: Convert to fraction form
    22,759.40/31,408.13 = 12,688.49/x
  3. Step 3: Cross multiply
    22,759.40x = 31,408.13 × 12,688.49
  4. Step 4: Simplify right side
    22,759.40x = 398,521,743.42
  5. Step 5: Solve for x
    x = 398,521,743.42/22,759.40
  6. Step 6: Final answer
    x = 17,510.20

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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.