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Finding the Fourth Proportional to 17,981.19, 24,814.62 and 10,023.21

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Solution

The fourth proportional to 17,981.19, 24,814.62 and 10,023.21 is: 13,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.19 : 24,814.62 = 10,023.21 : x
  2. Step 2: Convert to fraction form
    17,981.19/24,814.62 = 10,023.21/x
  3. Step 3: Cross multiply
    17,981.19x = 24,814.62 × 10,023.21
  4. Step 4: Simplify right side
    17,981.19x = 248,722,147.33
  5. Step 5: Solve for x
    x = 248,722,147.33/17,981.19
  6. Step 6: Final answer
    x = 13,832.35

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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.