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Finding the Fourth Proportional to 17,847.76, 24,630.08 and 9,890.16

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Solution

The fourth proportional to 17,847.76, 24,630.08 and 9,890.16 is: 13,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.76 : 24,630.08 = 9,890.16 : x
  2. Step 2: Convert to fraction form
    17,847.76/24,630.08 = 9,890.16/x
  3. Step 3: Cross multiply
    17,847.76x = 24,630.08 × 9,890.16
  4. Step 4: Simplify right side
    17,847.76x = 243,595,364.38
  5. Step 5: Solve for x
    x = 243,595,364.38/17,847.76
  6. Step 6: Final answer
    x = 13,648.51

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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.