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Finding the Fourth Proportional to 12,851.52, 19,246.40 and 10,992

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Solution

The fourth proportional to 12,851.52, 19,246.40 and 10,992 is: 16,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.52 : 19,246.40 = 10,992 : x
  2. Step 2: Convert to fraction form
    12,851.52/19,246.40 = 10,992/x
  3. Step 3: Cross multiply
    12,851.52x = 19,246.40 × 10,992
  4. Step 4: Simplify right side
    12,851.52x = 211,556,428.80
  5. Step 5: Solve for x
    x = 211,556,428.80/12,851.52
  6. Step 6: Final answer
    x = 16,461.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.