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Finding the Fourth Proportional to 12,830.02, 17,701.41 and 7,525.06

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Solution

The fourth proportional to 12,830.02, 17,701.41 and 7,525.06 is: 10,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.02 : 17,701.41 = 7,525.06 : x
  2. Step 2: Convert to fraction form
    12,830.02/17,701.41 = 7,525.06/x
  3. Step 3: Cross multiply
    12,830.02x = 17,701.41 × 7,525.06
  4. Step 4: Simplify right side
    12,830.02x = 133,204,172.33
  5. Step 5: Solve for x
    x = 133,204,172.33/12,830.02
  6. Step 6: Final answer
    x = 10,382.23

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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.