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Finding the Fourth Proportional to 13,412.23, 20,118 and 6,397.20

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Solution

The fourth proportional to 13,412.23, 20,118 and 6,397.20 is: 9,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.23 : 20,118 = 6,397.20 : x
  2. Step 2: Convert to fraction form
    13,412.23/20,118 = 6,397.20/x
  3. Step 3: Cross multiply
    13,412.23x = 20,118 × 6,397.20
  4. Step 4: Simplify right side
    13,412.23x = 128,698,869.60
  5. Step 5: Solve for x
    x = 128,698,869.60/13,412.23
  6. Step 6: Final answer
    x = 9,595.64

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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.