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Finding the Fourth Proportional to 12,675.84, 17,504.28 and 9,526.56

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Solution

The fourth proportional to 12,675.84, 17,504.28 and 9,526.56 is: 13,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.84 : 17,504.28 = 9,526.56 : x
  2. Step 2: Convert to fraction form
    12,675.84/17,504.28 = 9,526.56/x
  3. Step 3: Cross multiply
    12,675.84x = 17,504.28 × 9,526.56
  4. Step 4: Simplify right side
    12,675.84x = 166,755,573.68
  5. Step 5: Solve for x
    x = 166,755,573.68/12,675.84
  6. Step 6: Final answer
    x = 13,155.39

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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.