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Finding the Fourth Proportional to 12,538.35, 17,304.77 and 7,232.13

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Solution

The fourth proportional to 12,538.35, 17,304.77 and 7,232.13 is: 9,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.35 : 17,304.77 = 7,232.13 : x
  2. Step 2: Convert to fraction form
    12,538.35/17,304.77 = 7,232.13/x
  3. Step 3: Cross multiply
    12,538.35x = 17,304.77 × 7,232.13
  4. Step 4: Simplify right side
    12,538.35x = 125,150,310.10
  5. Step 5: Solve for x
    x = 125,150,310.10/12,538.35
  6. Step 6: Final answer
    x = 9,981.40

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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.