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Finding the Fourth Proportional to 12,824.30, 19,224.84 and 5,031.02

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Solution

The fourth proportional to 12,824.30, 19,224.84 and 5,031.02 is: 7,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.30 : 19,224.84 = 5,031.02 : x
  2. Step 2: Convert to fraction form
    12,824.30/19,224.84 = 5,031.02/x
  3. Step 3: Cross multiply
    12,824.30x = 19,224.84 × 5,031.02
  4. Step 4: Simplify right side
    12,824.30x = 96,720,554.54
  5. Step 5: Solve for x
    x = 96,720,554.54/12,824.30
  6. Step 6: Final answer
    x = 7,541.98

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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.