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Finding the Fourth Proportional to 17,847.29, 24,630.08 and 9,889.52

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Solution

The fourth proportional to 17,847.29, 24,630.08 and 9,889.52 is: 13,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.29 : 24,630.08 = 9,889.52 : x
  2. Step 2: Convert to fraction form
    17,847.29/24,630.08 = 9,889.52/x
  3. Step 3: Cross multiply
    17,847.29x = 24,630.08 × 9,889.52
  4. Step 4: Simplify right side
    17,847.29x = 243,579,496.16
  5. Step 5: Solve for x
    x = 243,579,496.16/17,847.29
  6. Step 6: Final answer
    x = 13,647.98

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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.