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Finding the Fourth Proportional to 16,301.54, 24,437.64 and 5,906

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Solution

The fourth proportional to 16,301.54, 24,437.64 and 5,906 is: 8,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.54 : 24,437.64 = 5,906 : x
  2. Step 2: Convert to fraction form
    16,301.54/24,437.64 = 5,906/x
  3. Step 3: Cross multiply
    16,301.54x = 24,437.64 × 5,906
  4. Step 4: Simplify right side
    16,301.54x = 144,328,701.84
  5. Step 5: Solve for x
    x = 144,328,701.84/16,301.54
  6. Step 6: Final answer
    x = 8,853.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.