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Finding the Fourth Proportional to 20,595.50, 28,421.86 and 11,164.10

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Solution

The fourth proportional to 20,595.50, 28,421.86 and 11,164.10 is: 15,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.50 : 28,421.86 = 11,164.10 : x
  2. Step 2: Convert to fraction form
    20,595.50/28,421.86 = 11,164.10/x
  3. Step 3: Cross multiply
    20,595.50x = 28,421.86 × 11,164.10
  4. Step 4: Simplify right side
    20,595.50x = 317,304,487.23
  5. Step 5: Solve for x
    x = 317,304,487.23/20,595.50
  6. Step 6: Final answer
    x = 15,406.50

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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.