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Finding the Fourth Proportional to 17,847.68, 24,629.98 and 9,890.08

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Solution

The fourth proportional to 17,847.68, 24,629.98 and 9,890.08 is: 13,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.68 : 24,629.98 = 9,890.08 : x
  2. Step 2: Convert to fraction form
    17,847.68/24,629.98 = 9,890.08/x
  3. Step 3: Cross multiply
    17,847.68x = 24,629.98 × 9,890.08
  4. Step 4: Simplify right side
    17,847.68x = 243,592,472.60
  5. Step 5: Solve for x
    x = 243,592,472.60/17,847.68
  6. Step 6: Final answer
    x = 13,648.41

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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.