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Finding the Fourth Proportional to 23,869.92, 35,807.36 and 11,387.84

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Solution

The fourth proportional to 23,869.92, 35,807.36 and 11,387.84 is: 17,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,869.92 : 35,807.36 = 11,387.84 : x
  2. Step 2: Convert to fraction form
    23,869.92/35,807.36 = 11,387.84/x
  3. Step 3: Cross multiply
    23,869.92x = 35,807.36 × 11,387.84
  4. Step 4: Simplify right side
    23,869.92x = 407,768,486.50
  5. Step 5: Solve for x
    x = 407,768,486.50/23,869.92
  6. Step 6: Final answer
    x = 17,082.94

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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.