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Finding the Fourth Proportional to 22,949.64, 31,671.80 and 12,881.28

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Solution

The fourth proportional to 22,949.64, 31,671.80 and 12,881.28 is: 17,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.64 : 31,671.80 = 12,881.28 : x
  2. Step 2: Convert to fraction form
    22,949.64/31,671.80 = 12,881.28/x
  3. Step 3: Cross multiply
    22,949.64x = 31,671.80 × 12,881.28
  4. Step 4: Simplify right side
    22,949.64x = 407,973,323.90
  5. Step 5: Solve for x
    x = 407,973,323.90/22,949.64
  6. Step 6: Final answer
    x = 17,776.89

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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.