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Finding the Fourth Proportional to 10,427.68, 15,642.24 and 3,032.20

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Solution

The fourth proportional to 10,427.68, 15,642.24 and 3,032.20 is: 4,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.68 : 15,642.24 = 3,032.20 : x
  2. Step 2: Convert to fraction form
    10,427.68/15,642.24 = 3,032.20/x
  3. Step 3: Cross multiply
    10,427.68x = 15,642.24 × 3,032.20
  4. Step 4: Simplify right side
    10,427.68x = 47,430,400.13
  5. Step 5: Solve for x
    x = 47,430,400.13/10,427.68
  6. Step 6: Final answer
    x = 4,548.51

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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.