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Finding the Fourth Proportional to 13,430.10, 20,152.05 and 5,538.69

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Solution

The fourth proportional to 13,430.10, 20,152.05 and 5,538.69 is: 8,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.10 : 20,152.05 = 5,538.69 : x
  2. Step 2: Convert to fraction form
    13,430.10/20,152.05 = 5,538.69/x
  3. Step 3: Cross multiply
    13,430.10x = 20,152.05 × 5,538.69
  4. Step 4: Simplify right side
    13,430.10x = 111,615,957.81
  5. Step 5: Solve for x
    x = 111,615,957.81/13,430.10
  6. Step 6: Final answer
    x = 8,310.88

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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.