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Finding the Fourth Proportional to 12,734.32, 17,575.26 and 7,428.40

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Solution

The fourth proportional to 12,734.32, 17,575.26 and 7,428.40 is: 10,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.32 : 17,575.26 = 7,428.40 : x
  2. Step 2: Convert to fraction form
    12,734.32/17,575.26 = 7,428.40/x
  3. Step 3: Cross multiply
    12,734.32x = 17,575.26 × 7,428.40
  4. Step 4: Simplify right side
    12,734.32x = 130,556,061.38
  5. Step 5: Solve for x
    x = 130,556,061.38/12,734.32
  6. Step 6: Final answer
    x = 10,252.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.