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Finding the Fourth Proportional to 12,699.60, 17,527.26 and 7,397.34

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Solution

The fourth proportional to 12,699.60, 17,527.26 and 7,397.34 is: 10,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.60 : 17,527.26 = 7,397.34 : x
  2. Step 2: Convert to fraction form
    12,699.60/17,527.26 = 7,397.34/x
  3. Step 3: Cross multiply
    12,699.60x = 17,527.26 × 7,397.34
  4. Step 4: Simplify right side
    12,699.60x = 129,655,101.49
  5. Step 5: Solve for x
    x = 129,655,101.49/12,699.60
  6. Step 6: Final answer
    x = 10,209.38

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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.