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Finding the Fourth Proportional to 21,873.78, 32,810.94 and 8,718.48

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Solution

The fourth proportional to 21,873.78, 32,810.94 and 8,718.48 is: 13,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.78 : 32,810.94 = 8,718.48 : x
  2. Step 2: Convert to fraction form
    21,873.78/32,810.94 = 8,718.48/x
  3. Step 3: Cross multiply
    21,873.78x = 32,810.94 × 8,718.48
  4. Step 4: Simplify right side
    21,873.78x = 286,061,524.17
  5. Step 5: Solve for x
    x = 286,061,524.17/21,873.78
  6. Step 6: Final answer
    x = 13,077.83

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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.