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Finding the Fourth Proportional to 22,535.49, 31,098.78 and 12,464.67

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Solution

The fourth proportional to 22,535.49, 31,098.78 and 12,464.67 is: 17,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.49 : 31,098.78 = 12,464.67 : x
  2. Step 2: Convert to fraction form
    22,535.49/31,098.78 = 12,464.67/x
  3. Step 3: Cross multiply
    22,535.49x = 31,098.78 × 12,464.67
  4. Step 4: Simplify right side
    22,535.49x = 387,636,030.10
  5. Step 5: Solve for x
    x = 387,636,030.10/22,535.49
  6. Step 6: Final answer
    x = 17,201.14

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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.