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Finding the Fourth Proportional to 18,406.44, 25,400.82 and 10,023

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Solution

The fourth proportional to 18,406.44, 25,400.82 and 10,023 is: 13,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.44 : 25,400.82 = 10,023 : x
  2. Step 2: Convert to fraction form
    18,406.44/25,400.82 = 10,023/x
  3. Step 3: Cross multiply
    18,406.44x = 25,400.82 × 10,023
  4. Step 4: Simplify right side
    18,406.44x = 254,592,418.86
  5. Step 5: Solve for x
    x = 254,592,418.86/18,406.44
  6. Step 6: Final answer
    x = 13,831.70

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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.