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Finding the Fourth Proportional to 10,202.40, 15,307.20 and 9,842.40

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Solution

The fourth proportional to 10,202.40, 15,307.20 and 9,842.40 is: 14,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.40 : 15,307.20 = 9,842.40 : x
  2. Step 2: Convert to fraction form
    10,202.40/15,307.20 = 9,842.40/x
  3. Step 3: Cross multiply
    10,202.40x = 15,307.20 × 9,842.40
  4. Step 4: Simplify right side
    10,202.40x = 150,659,585.28
  5. Step 5: Solve for x
    x = 150,659,585.28/10,202.40
  6. Step 6: Final answer
    x = 14,767.07

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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.