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Finding the Fourth Proportional to 15,145.60, 20,889.04 and 9,842.14

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Solution

The fourth proportional to 15,145.60, 20,889.04 and 9,842.14 is: 13,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.60 : 20,889.04 = 9,842.14 : x
  2. Step 2: Convert to fraction form
    15,145.60/20,889.04 = 9,842.14/x
  3. Step 3: Cross multiply
    15,145.60x = 20,889.04 × 9,842.14
  4. Step 4: Simplify right side
    15,145.60x = 205,592,856.15
  5. Step 5: Solve for x
    x = 205,592,856.15/15,145.60
  6. Step 6: Final answer
    x = 13,574.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.