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Finding the Fourth Proportional to 20,595.44, 28,421.68 and 11,164

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Solution

The fourth proportional to 20,595.44, 28,421.68 and 11,164 is: 15,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.44 : 28,421.68 = 11,164 : x
  2. Step 2: Convert to fraction form
    20,595.44/28,421.68 = 11,164/x
  3. Step 3: Cross multiply
    20,595.44x = 28,421.68 × 11,164
  4. Step 4: Simplify right side
    20,595.44x = 317,299,635.52
  5. Step 5: Solve for x
    x = 317,299,635.52/20,595.44
  6. Step 6: Final answer
    x = 15,406.31

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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.