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Finding the Fourth Proportional to 10,298.20, 15,425.70 and 8,570.20

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Solution

The fourth proportional to 10,298.20, 15,425.70 and 8,570.20 is: 12,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.20 : 15,425.70 = 8,570.20 : x
  2. Step 2: Convert to fraction form
    10,298.20/15,425.70 = 8,570.20/x
  3. Step 3: Cross multiply
    10,298.20x = 15,425.70 × 8,570.20
  4. Step 4: Simplify right side
    10,298.20x = 132,201,334.14
  5. Step 5: Solve for x
    x = 132,201,334.14/10,298.20
  6. Step 6: Final answer
    x = 12,837.32

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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.