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Finding the Fourth Proportional to 15,876.08, 23,809.35 and 9,961.94

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Solution

The fourth proportional to 15,876.08, 23,809.35 and 9,961.94 is: 14,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.08 : 23,809.35 = 9,961.94 : x
  2. Step 2: Convert to fraction form
    15,876.08/23,809.35 = 9,961.94/x
  3. Step 3: Cross multiply
    15,876.08x = 23,809.35 × 9,961.94
  4. Step 4: Simplify right side
    15,876.08x = 237,187,316.14
  5. Step 5: Solve for x
    x = 237,187,316.14/15,876.08
  6. Step 6: Final answer
    x = 14,939.92

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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.