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Finding the Fourth Proportional to 15,410.92, 21,270.36 and 9,742.08

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Solution

The fourth proportional to 15,410.92, 21,270.36 and 9,742.08 is: 13,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.92 : 21,270.36 = 9,742.08 : x
  2. Step 2: Convert to fraction form
    15,410.92/21,270.36 = 9,742.08/x
  3. Step 3: Cross multiply
    15,410.92x = 21,270.36 × 9,742.08
  4. Step 4: Simplify right side
    15,410.92x = 207,217,548.75
  5. Step 5: Solve for x
    x = 207,217,548.75/15,410.92
  6. Step 6: Final answer
    x = 13,446.15

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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.