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Finding the Fourth Proportional to 10,284.60, 15,426.90 and 10,219.80

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Solution

The fourth proportional to 10,284.60, 15,426.90 and 10,219.80 is: 15,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.60 : 15,426.90 = 10,219.80 : x
  2. Step 2: Convert to fraction form
    10,284.60/15,426.90 = 10,219.80/x
  3. Step 3: Cross multiply
    10,284.60x = 15,426.90 × 10,219.80
  4. Step 4: Simplify right side
    10,284.60x = 157,659,832.62
  5. Step 5: Solve for x
    x = 157,659,832.62/10,284.60
  6. Step 6: Final answer
    x = 15,329.70

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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.