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Finding the Fourth Proportional to 24,750, 34,155 and 13,572

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Solution

The fourth proportional to 24,750, 34,155 and 13,572 is: 18,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 34,155 = 13,572 : x
  2. Step 2: Convert to fraction form
    24,750/34,155 = 13,572/x
  3. Step 3: Cross multiply
    24,750x = 34,155 × 13,572
  4. Step 4: Simplify right side
    24,750x = 463,551,660
  5. Step 5: Solve for x
    x = 463,551,660/24,750
  6. Step 6: Final answer
    x = 18,729.36

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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.