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Finding the Fourth Proportional to 17,458.23, 24,092.19 and 9,500.40

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Solution

The fourth proportional to 17,458.23, 24,092.19 and 9,500.40 is: 13,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.23 : 24,092.19 = 9,500.40 : x
  2. Step 2: Convert to fraction form
    17,458.23/24,092.19 = 9,500.40/x
  3. Step 3: Cross multiply
    17,458.23x = 24,092.19 × 9,500.40
  4. Step 4: Simplify right side
    17,458.23x = 228,885,441.88
  5. Step 5: Solve for x
    x = 228,885,441.88/17,458.23
  6. Step 6: Final answer
    x = 13,110.46

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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.