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Finding the Fourth Proportional to 21,824.74, 32,737.11 and 14,427.67

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Solution

The fourth proportional to 21,824.74, 32,737.11 and 14,427.67 is: 21,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.74 : 32,737.11 = 14,427.67 : x
  2. Step 2: Convert to fraction form
    21,824.74/32,737.11 = 14,427.67/x
  3. Step 3: Cross multiply
    21,824.74x = 32,737.11 × 14,427.67
  4. Step 4: Simplify right side
    21,824.74x = 472,320,219.83
  5. Step 5: Solve for x
    x = 472,320,219.83/21,824.74
  6. Step 6: Final answer
    x = 21,641.51

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1.5x scale

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.