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Finding the Fourth Proportional to 12,698.34, 17,532.38 and 7,920.16

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Solution

The fourth proportional to 12,698.34, 17,532.38 and 7,920.16 is: 10,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.34 : 17,532.38 = 7,920.16 : x
  2. Step 2: Convert to fraction form
    12,698.34/17,532.38 = 7,920.16/x
  3. Step 3: Cross multiply
    12,698.34x = 17,532.38 × 7,920.16
  4. Step 4: Simplify right side
    12,698.34x = 138,859,254.78
  5. Step 5: Solve for x
    x = 138,859,254.78/12,698.34
  6. Step 6: Final answer
    x = 10,935.23

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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.