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Finding the Fourth Proportional to 12,306.39, 16,977.48 and 7,526.54

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Solution

The fourth proportional to 12,306.39, 16,977.48 and 7,526.54 is: 10,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.39 : 16,977.48 = 7,526.54 : x
  2. Step 2: Convert to fraction form
    12,306.39/16,977.48 = 7,526.54/x
  3. Step 3: Cross multiply
    12,306.39x = 16,977.48 × 7,526.54
  4. Step 4: Simplify right side
    12,306.39x = 127,781,682.32
  5. Step 5: Solve for x
    x = 127,781,682.32/12,306.39
  6. Step 6: Final answer
    x = 10,383.36

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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.