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Finding the Fourth Proportional to 24,901, 34,364.10 and 13,723.72

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Solution

The fourth proportional to 24,901, 34,364.10 and 13,723.72 is: 18,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901 : 34,364.10 = 13,723.72 : x
  2. Step 2: Convert to fraction form
    24,901/34,364.10 = 13,723.72/x
  3. Step 3: Cross multiply
    24,901x = 34,364.10 × 13,723.72
  4. Step 4: Simplify right side
    24,901x = 471,603,286.45
  5. Step 5: Solve for x
    x = 471,603,286.45/24,901
  6. Step 6: Final answer
    x = 18,939.13

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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.