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Finding the Fourth Proportional to 16,258.16, 24,391.08 and 5,870

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Solution

The fourth proportional to 16,258.16, 24,391.08 and 5,870 is: 8,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.16 : 24,391.08 = 5,870 : x
  2. Step 2: Convert to fraction form
    16,258.16/24,391.08 = 5,870/x
  3. Step 3: Cross multiply
    16,258.16x = 24,391.08 × 5,870
  4. Step 4: Simplify right side
    16,258.16x = 143,175,639.60
  5. Step 5: Solve for x
    x = 143,175,639.60/16,258.16
  6. Step 6: Final answer
    x = 8,806.39

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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.