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Finding the Fourth Proportional to 15,877, 23,816.08 and 6,017

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Solution

The fourth proportional to 15,877, 23,816.08 and 6,017 is: 9,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877 : 23,816.08 = 6,017 : x
  2. Step 2: Convert to fraction form
    15,877/23,816.08 = 6,017/x
  3. Step 3: Cross multiply
    15,877x = 23,816.08 × 6,017
  4. Step 4: Simplify right side
    15,877x = 143,301,353.36
  5. Step 5: Solve for x
    x = 143,301,353.36/15,877
  6. Step 6: Final answer
    x = 9,025.72

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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.