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Finding the Fourth Proportional to 17,847.81, 24,630.12 and 9,890.17

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Solution

The fourth proportional to 17,847.81, 24,630.12 and 9,890.17 is: 13,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.81 : 24,630.12 = 9,890.17 : x
  2. Step 2: Convert to fraction form
    17,847.81/24,630.12 = 9,890.17/x
  3. Step 3: Cross multiply
    17,847.81x = 24,630.12 × 9,890.17
  4. Step 4: Simplify right side
    17,847.81x = 243,596,037.07
  5. Step 5: Solve for x
    x = 243,596,037.07/17,847.81
  6. Step 6: Final answer
    x = 13,648.51

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1.5x scale

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.