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Finding the Fourth Proportional to 12,522.48, 17,276.58 and 7,483.20

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Solution

The fourth proportional to 12,522.48, 17,276.58 and 7,483.20 is: 10,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.48 : 17,276.58 = 7,483.20 : x
  2. Step 2: Convert to fraction form
    12,522.48/17,276.58 = 7,483.20/x
  3. Step 3: Cross multiply
    12,522.48x = 17,276.58 × 7,483.20
  4. Step 4: Simplify right side
    12,522.48x = 129,284,103.46
  5. Step 5: Solve for x
    x = 129,284,103.46/12,522.48
  6. Step 6: Final answer
    x = 10,324.16

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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.