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Finding the Fourth Proportional to 22,726.34, 31,368.15 and 13,164.29

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Solution

The fourth proportional to 22,726.34, 31,368.15 and 13,164.29 is: 18,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.34 : 31,368.15 = 13,164.29 : x
  2. Step 2: Convert to fraction form
    22,726.34/31,368.15 = 13,164.29/x
  3. Step 3: Cross multiply
    22,726.34x = 31,368.15 × 13,164.29
  4. Step 4: Simplify right side
    22,726.34x = 412,939,266.52
  5. Step 5: Solve for x
    x = 412,939,266.52/22,726.34
  6. Step 6: Final answer
    x = 18,170.08

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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.