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Finding the Fourth Proportional to 12,525.80, 17,284.52 and 7,221.02

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Solution

The fourth proportional to 12,525.80, 17,284.52 and 7,221.02 is: 9,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.80 : 17,284.52 = 7,221.02 : x
  2. Step 2: Convert to fraction form
    12,525.80/17,284.52 = 7,221.02/x
  3. Step 3: Cross multiply
    12,525.80x = 17,284.52 × 7,221.02
  4. Step 4: Simplify right side
    12,525.80x = 124,811,864.61
  5. Step 5: Solve for x
    x = 124,811,864.61/12,525.80
  6. Step 6: Final answer
    x = 9,964.38

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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.