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Finding the Fourth Proportional to 12,830.42, 17,706.05 and 7,525.34

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Solution

The fourth proportional to 12,830.42, 17,706.05 and 7,525.34 is: 10,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.42 : 17,706.05 = 7,525.34 : x
  2. Step 2: Convert to fraction form
    12,830.42/17,706.05 = 7,525.34/x
  3. Step 3: Cross multiply
    12,830.42x = 17,706.05 × 7,525.34
  4. Step 4: Simplify right side
    12,830.42x = 133,244,046.31
  5. Step 5: Solve for x
    x = 133,244,046.31/12,830.42
  6. Step 6: Final answer
    x = 10,385.01

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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.