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Finding the Fourth Proportional to 24,415.86, 33,696.40 and 14,856.43

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Solution

The fourth proportional to 24,415.86, 33,696.40 and 14,856.43 is: 20,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.86 : 33,696.40 = 14,856.43 : x
  2. Step 2: Convert to fraction form
    24,415.86/33,696.40 = 14,856.43/x
  3. Step 3: Cross multiply
    24,415.86x = 33,696.40 × 14,856.43
  4. Step 4: Simplify right side
    24,415.86x = 500,608,207.85
  5. Step 5: Solve for x
    x = 500,608,207.85/24,415.86
  6. Step 6: Final answer
    x = 20,503.40

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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.