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Finding the Fourth Proportional to 22,948.84, 31,463.13 and 22,534.12

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Solution

The fourth proportional to 22,948.84, 31,463.13 and 22,534.12 is: 30,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.84 : 31,463.13 = 22,534.12 : x
  2. Step 2: Convert to fraction form
    22,948.84/31,463.13 = 22,534.12/x
  3. Step 3: Cross multiply
    22,948.84x = 31,463.13 × 22,534.12
  4. Step 4: Simplify right side
    22,948.84x = 708,993,947.00
  5. Step 5: Solve for x
    x = 708,993,947.00/22,948.84
  6. Step 6: Final answer
    x = 30,894.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.