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Finding the Fourth Proportional to 22,797.84, 31,454.16 and 22,046.16

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Solution

The fourth proportional to 22,797.84, 31,454.16 and 22,046.16 is: 30,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.84 : 31,454.16 = 22,046.16 : x
  2. Step 2: Convert to fraction form
    22,797.84/31,454.16 = 22,046.16/x
  3. Step 3: Cross multiply
    22,797.84x = 31,454.16 × 22,046.16
  4. Step 4: Simplify right side
    22,797.84x = 693,443,444.03
  5. Step 5: Solve for x
    x = 693,443,444.03/22,797.84
  6. Step 6: Final answer
    x = 30,417.07

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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.