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Finding the Fourth Proportional to 10,427.54, 15,642.17 and 3,031.99

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Solution

The fourth proportional to 10,427.54, 15,642.17 and 3,031.99 is: 4,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.54 : 15,642.17 = 3,031.99 : x
  2. Step 2: Convert to fraction form
    10,427.54/15,642.17 = 3,031.99/x
  3. Step 3: Cross multiply
    10,427.54x = 15,642.17 × 3,031.99
  4. Step 4: Simplify right side
    10,427.54x = 47,426,824.81
  5. Step 5: Solve for x
    x = 47,426,824.81/10,427.54
  6. Step 6: Final answer
    x = 4,548.23

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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.