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Finding the Fourth Proportional to 22,567.30, 31,133.23 and 13,609.71

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Solution

The fourth proportional to 22,567.30, 31,133.23 and 13,609.71 is: 18,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.30 : 31,133.23 = 13,609.71 : x
  2. Step 2: Convert to fraction form
    22,567.30/31,133.23 = 13,609.71/x
  3. Step 3: Cross multiply
    22,567.30x = 31,133.23 × 13,609.71
  4. Step 4: Simplify right side
    22,567.30x = 423,714,163.61
  5. Step 5: Solve for x
    x = 423,714,163.61/22,567.30
  6. Step 6: Final answer
    x = 18,775.58

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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.