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Finding the Fourth Proportional to 20,716.40, 31,074.60 and 15,532.40

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Solution

The fourth proportional to 20,716.40, 31,074.60 and 15,532.40 is: 23,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.40 : 31,074.60 = 15,532.40 : x
  2. Step 2: Convert to fraction form
    20,716.40/31,074.60 = 15,532.40/x
  3. Step 3: Cross multiply
    20,716.40x = 31,074.60 × 15,532.40
  4. Step 4: Simplify right side
    20,716.40x = 482,663,117.04
  5. Step 5: Solve for x
    x = 482,663,117.04/20,716.40
  6. Step 6: Final answer
    x = 23,298.60

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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.