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Finding the Fourth Proportional to 17,473.86, 24,102.90 and 10,395

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Solution

The fourth proportional to 17,473.86, 24,102.90 and 10,395 is: 14,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473.86 : 24,102.90 = 10,395 : x
  2. Step 2: Convert to fraction form
    17,473.86/24,102.90 = 10,395/x
  3. Step 3: Cross multiply
    17,473.86x = 24,102.90 × 10,395
  4. Step 4: Simplify right side
    17,473.86x = 250,549,645.50
  5. Step 5: Solve for x
    x = 250,549,645.50/17,473.86
  6. Step 6: Final answer
    x = 14,338.54

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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.