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Finding the Fourth Proportional to 22,869.54, 31,557.80 and 12,796.58

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Solution

The fourth proportional to 22,869.54, 31,557.80 and 12,796.58 is: 17,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.54 : 31,557.80 = 12,796.58 : x
  2. Step 2: Convert to fraction form
    22,869.54/31,557.80 = 12,796.58/x
  3. Step 3: Cross multiply
    22,869.54x = 31,557.80 × 12,796.58
  4. Step 4: Simplify right side
    22,869.54x = 403,832,023.21
  5. Step 5: Solve for x
    x = 403,832,023.21/22,869.54
  6. Step 6: Final answer
    x = 17,658.07

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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.