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Finding the Fourth Proportional to 17,850, 24,633 and 12,264.24

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Solution

The fourth proportional to 17,850, 24,633 and 12,264.24 is: 16,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850 : 24,633 = 12,264.24 : x
  2. Step 2: Convert to fraction form
    17,850/24,633 = 12,264.24/x
  3. Step 3: Cross multiply
    17,850x = 24,633 × 12,264.24
  4. Step 4: Simplify right side
    17,850x = 302,105,023.92
  5. Step 5: Solve for x
    x = 302,105,023.92/17,850
  6. Step 6: Final answer
    x = 16,924.65

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