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Finding the Fourth Proportional to 16,258, 24,387.06 and 3,946

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Solution

The fourth proportional to 16,258, 24,387.06 and 3,946 is: 5,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258 : 24,387.06 = 3,946 : x
  2. Step 2: Convert to fraction form
    16,258/24,387.06 = 3,946/x
  3. Step 3: Cross multiply
    16,258x = 24,387.06 × 3,946
  4. Step 4: Simplify right side
    16,258x = 96,231,338.76
  5. Step 5: Solve for x
    x = 96,231,338.76/16,258
  6. Step 6: Final answer
    x = 5,919.01

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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.