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Finding the Fourth Proportional to 17,823.76, 24,595.92 and 9,865.84

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Solution

The fourth proportional to 17,823.76, 24,595.92 and 9,865.84 is: 13,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.76 : 24,595.92 = 9,865.84 : x
  2. Step 2: Convert to fraction form
    17,823.76/24,595.92 = 9,865.84/x
  3. Step 3: Cross multiply
    17,823.76x = 24,595.92 × 9,865.84
  4. Step 4: Simplify right side
    17,823.76x = 242,659,411.37
  5. Step 5: Solve for x
    x = 242,659,411.37/17,823.76
  6. Step 6: Final answer
    x = 13,614.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.