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Finding the Fourth Proportional to 14,531.96, 20,053.67 and 8,158.38

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Solution

The fourth proportional to 14,531.96, 20,053.67 and 8,158.38 is: 11,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.96 : 20,053.67 = 8,158.38 : x
  2. Step 2: Convert to fraction form
    14,531.96/20,053.67 = 8,158.38/x
  3. Step 3: Cross multiply
    14,531.96x = 20,053.67 × 8,158.38
  4. Step 4: Simplify right side
    14,531.96x = 163,605,419.46
  5. Step 5: Solve for x
    x = 163,605,419.46/14,531.96
  6. Step 6: Final answer
    x = 11,258.32

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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.