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Finding the Fourth Proportional to 22,656.39, 31,266.03 and 13,223.13

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Solution

The fourth proportional to 22,656.39, 31,266.03 and 13,223.13 is: 18,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.39 : 31,266.03 = 13,223.13 : x
  2. Step 2: Convert to fraction form
    22,656.39/31,266.03 = 13,223.13/x
  3. Step 3: Cross multiply
    22,656.39x = 31,266.03 × 13,223.13
  4. Step 4: Simplify right side
    22,656.39x = 413,434,779.27
  5. Step 5: Solve for x
    x = 413,434,779.27/22,656.39
  6. Step 6: Final answer
    x = 18,248.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.