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Finding the Fourth Proportional to 13,574.60, 20,350.34 and 6,176.46

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Solution

The fourth proportional to 13,574.60, 20,350.34 and 6,176.46 is: 9,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.60 : 20,350.34 = 6,176.46 : x
  2. Step 2: Convert to fraction form
    13,574.60/20,350.34 = 6,176.46/x
  3. Step 3: Cross multiply
    13,574.60x = 20,350.34 × 6,176.46
  4. Step 4: Simplify right side
    13,574.60x = 125,693,061.00
  5. Step 5: Solve for x
    x = 125,693,061.00/13,574.60
  6. Step 6: Final answer
    x = 9,259.43

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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.