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Finding the Fourth Proportional to 12,886.50, 19,326.78 and 7,266.66

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Solution

The fourth proportional to 12,886.50, 19,326.78 and 7,266.66 is: 10,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.50 : 19,326.78 = 7,266.66 : x
  2. Step 2: Convert to fraction form
    12,886.50/19,326.78 = 7,266.66/x
  3. Step 3: Cross multiply
    12,886.50x = 19,326.78 × 7,266.66
  4. Step 4: Simplify right side
    12,886.50x = 140,441,139.15
  5. Step 5: Solve for x
    x = 140,441,139.15/12,886.50
  6. Step 6: Final answer
    x = 10,898.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.