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Finding the Fourth Proportional to 24,184.80, 33,372.72 and 13,572

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Solution

The fourth proportional to 24,184.80, 33,372.72 and 13,572 is: 18,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184.80 : 33,372.72 = 13,572 : x
  2. Step 2: Convert to fraction form
    24,184.80/33,372.72 = 13,572/x
  3. Step 3: Cross multiply
    24,184.80x = 33,372.72 × 13,572
  4. Step 4: Simplify right side
    24,184.80x = 452,934,555.84
  5. Step 5: Solve for x
    x = 452,934,555.84/24,184.80
  6. Step 6: Final answer
    x = 18,728.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.