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Finding the Fourth Proportional to 16,210.72, 24,298 and 6,847.92

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Solution

The fourth proportional to 16,210.72, 24,298 and 6,847.92 is: 10,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.72 : 24,298 = 6,847.92 : x
  2. Step 2: Convert to fraction form
    16,210.72/24,298 = 6,847.92/x
  3. Step 3: Cross multiply
    16,210.72x = 24,298 × 6,847.92
  4. Step 4: Simplify right side
    16,210.72x = 166,390,760.16
  5. Step 5: Solve for x
    x = 166,390,760.16/16,210.72
  6. Step 6: Final answer
    x = 10,264.24

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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.