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Finding the Fourth Proportional to 17,748, 24,501.84 and 10,676

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Solution

The fourth proportional to 17,748, 24,501.84 and 10,676 is: 14,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748 : 24,501.84 = 10,676 : x
  2. Step 2: Convert to fraction form
    17,748/24,501.84 = 10,676/x
  3. Step 3: Cross multiply
    17,748x = 24,501.84 × 10,676
  4. Step 4: Simplify right side
    17,748x = 261,581,643.84
  5. Step 5: Solve for x
    x = 261,581,643.84/17,748
  6. Step 6: Final answer
    x = 14,738.65

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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.