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Finding the Fourth Proportional to 24,109.77, 33,275.03 and 14,676.57

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Solution

The fourth proportional to 24,109.77, 33,275.03 and 14,676.57 is: 20,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.77 : 33,275.03 = 14,676.57 : x
  2. Step 2: Convert to fraction form
    24,109.77/33,275.03 = 14,676.57/x
  3. Step 3: Cross multiply
    24,109.77x = 33,275.03 × 14,676.57
  4. Step 4: Simplify right side
    24,109.77x = 488,363,233.66
  5. Step 5: Solve for x
    x = 488,363,233.66/24,109.77
  6. Step 6: Final answer
    x = 20,255.82

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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.