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Finding the Fourth Proportional to 12,698.58, 17,524.70 and 7,033.95

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Solution

The fourth proportional to 12,698.58, 17,524.70 and 7,033.95 is: 9,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.58 : 17,524.70 = 7,033.95 : x
  2. Step 2: Convert to fraction form
    12,698.58/17,524.70 = 7,033.95/x
  3. Step 3: Cross multiply
    12,698.58x = 17,524.70 × 7,033.95
  4. Step 4: Simplify right side
    12,698.58x = 123,267,828.40
  5. Step 5: Solve for x
    x = 123,267,828.40/12,698.58
  6. Step 6: Final answer
    x = 9,707.21

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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.