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Finding the Fourth Proportional to 22,759.42, 31,408.13 and 12,688.50

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Solution

The fourth proportional to 22,759.42, 31,408.13 and 12,688.50 is: 17,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.42 : 31,408.13 = 12,688.50 : x
  2. Step 2: Convert to fraction form
    22,759.42/31,408.13 = 12,688.50/x
  3. Step 3: Cross multiply
    22,759.42x = 31,408.13 × 12,688.50
  4. Step 4: Simplify right side
    22,759.42x = 398,522,057.51
  5. Step 5: Solve for x
    x = 398,522,057.51/22,759.42
  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.