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Finding the Fourth Proportional to 27,121.23, 40,672.35 and 12,888

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Solution

The fourth proportional to 27,121.23, 40,672.35 and 12,888 is: 19,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121.23 : 40,672.35 = 12,888 : x
  2. Step 2: Convert to fraction form
    27,121.23/40,672.35 = 12,888/x
  3. Step 3: Cross multiply
    27,121.23x = 40,672.35 × 12,888
  4. Step 4: Simplify right side
    27,121.23x = 524,185,246.80
  5. Step 5: Solve for x
    x = 524,185,246.80/27,121.23
  6. Step 6: Final answer
    x = 19,327.49

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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.