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Finding the Fourth Proportional to 13,349.68, 20,026.12 and 4,586.16

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Solution

The fourth proportional to 13,349.68, 20,026.12 and 4,586.16 is: 6,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.68 : 20,026.12 = 4,586.16 : x
  2. Step 2: Convert to fraction form
    13,349.68/20,026.12 = 4,586.16/x
  3. Step 3: Cross multiply
    13,349.68x = 20,026.12 × 4,586.16
  4. Step 4: Simplify right side
    13,349.68x = 91,842,990.50
  5. Step 5: Solve for x
    x = 91,842,990.50/13,349.68
  6. Step 6: Final answer
    x = 6,879.79

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Why These Related Problems?

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