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Finding the Fourth Proportional to 12,899.38, 17,801.15 and 7,597.46

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Solution

The fourth proportional to 12,899.38, 17,801.15 and 7,597.46 is: 10,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.38 : 17,801.15 = 7,597.46 : x
  2. Step 2: Convert to fraction form
    12,899.38/17,801.15 = 7,597.46/x
  3. Step 3: Cross multiply
    12,899.38x = 17,801.15 × 7,597.46
  4. Step 4: Simplify right side
    12,899.38x = 135,243,525.08
  5. Step 5: Solve for x
    x = 135,243,525.08/12,899.38
  6. Step 6: Final answer
    x = 10,484.50

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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.