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Finding the Fourth Proportional to 21,447, 32,187.78 and 11,061.72

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Solution

The fourth proportional to 21,447, 32,187.78 and 11,061.72 is: 16,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447 : 32,187.78 = 11,061.72 : x
  2. Step 2: Convert to fraction form
    21,447/32,187.78 = 11,061.72/x
  3. Step 3: Cross multiply
    21,447x = 32,187.78 × 11,061.72
  4. Step 4: Simplify right side
    21,447x = 356,052,209.78
  5. Step 5: Solve for x
    x = 356,052,209.78/21,447
  6. Step 6: Final answer
    x = 16,601.49

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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.