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Finding the Fourth Proportional to 20,106.88, 30,160.08 and 9,711.36

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Solution

The fourth proportional to 20,106.88, 30,160.08 and 9,711.36 is: 14,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.88 : 30,160.08 = 9,711.36 : x
  2. Step 2: Convert to fraction form
    20,106.88/30,160.08 = 9,711.36/x
  3. Step 3: Cross multiply
    20,106.88x = 30,160.08 × 9,711.36
  4. Step 4: Simplify right side
    20,106.88x = 292,895,394.51
  5. Step 5: Solve for x
    x = 292,895,394.51/20,106.88
  6. Step 6: Final answer
    x = 14,566.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.