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Finding the Fourth Proportional to 32,184.38, 48,276.63 and 13,716.38

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Solution

The fourth proportional to 32,184.38, 48,276.63 and 13,716.38 is: 20,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.38 : 48,276.63 = 13,716.38 : x
  2. Step 2: Convert to fraction form
    32,184.38/48,276.63 = 13,716.38/x
  3. Step 3: Cross multiply
    32,184.38x = 48,276.63 × 13,716.38
  4. Step 4: Simplify right side
    32,184.38x = 662,180,360.82
  5. Step 5: Solve for x
    x = 662,180,360.82/32,184.38
  6. Step 6: Final answer
    x = 20,574.59

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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.