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Finding the Fourth Proportional to 16,258.87, 24,373.51 and 6,257.23

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Solution

The fourth proportional to 16,258.87, 24,373.51 and 6,257.23 is: 9,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.87 : 24,373.51 = 6,257.23 : x
  2. Step 2: Convert to fraction form
    16,258.87/24,373.51 = 6,257.23/x
  3. Step 3: Cross multiply
    16,258.87x = 24,373.51 × 6,257.23
  4. Step 4: Simplify right side
    16,258.87x = 152,510,718.50
  5. Step 5: Solve for x
    x = 152,510,718.50/16,258.87
  6. Step 6: Final answer
    x = 9,380.16

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Why These Related Problems?

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