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Finding the Fourth Proportional to 24,146.50, 33,322.29 and 14,081.92

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Solution

The fourth proportional to 24,146.50, 33,322.29 and 14,081.92 is: 19,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.50 : 33,322.29 = 14,081.92 : x
  2. Step 2: Convert to fraction form
    24,146.50/33,322.29 = 14,081.92/x
  3. Step 3: Cross multiply
    24,146.50x = 33,322.29 × 14,081.92
  4. Step 4: Simplify right side
    24,146.50x = 469,241,822.00
  5. Step 5: Solve for x
    x = 469,241,822.00/24,146.50
  6. Step 6: Final answer
    x = 19,433.12

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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.