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Finding the Fourth Proportional to 12,902, 17,801.88 and 7,597.04

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Solution

The fourth proportional to 12,902, 17,801.88 and 7,597.04 is: 10,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902 : 17,801.88 = 7,597.04 : x
  2. Step 2: Convert to fraction form
    12,902/17,801.88 = 7,597.04/x
  3. Step 3: Cross multiply
    12,902x = 17,801.88 × 7,597.04
  4. Step 4: Simplify right side
    12,902x = 135,241,594.44
  5. Step 5: Solve for x
    x = 135,241,594.44/12,902
  6. Step 6: Final answer
    x = 10,482.22

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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.