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Finding the Fourth Proportional to 22,829.40, 31,506.84 and 13,397.76

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Solution

The fourth proportional to 22,829.40, 31,506.84 and 13,397.76 is: 18,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.40 : 31,506.84 = 13,397.76 : x
  2. Step 2: Convert to fraction form
    22,829.40/31,506.84 = 13,397.76/x
  3. Step 3: Cross multiply
    22,829.40x = 31,506.84 × 13,397.76
  4. Step 4: Simplify right side
    22,829.40x = 422,121,080.68
  5. Step 5: Solve for x
    x = 422,121,080.68/22,829.40
  6. Step 6: Final answer
    x = 18,490.24

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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.