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Finding the Fourth Proportional to 23,110.71, 34,498.88 and 20,308.20

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Solution

The fourth proportional to 23,110.71, 34,498.88 and 20,308.20 is: 30,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.71 : 34,498.88 = 20,308.20 : x
  2. Step 2: Convert to fraction form
    23,110.71/34,498.88 = 20,308.20/x
  3. Step 3: Cross multiply
    23,110.71x = 34,498.88 × 20,308.20
  4. Step 4: Simplify right side
    23,110.71x = 700,610,053.28
  5. Step 5: Solve for x
    x = 700,610,053.28/23,110.71
  6. Step 6: Final answer
    x = 30,315.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.