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Finding the Fourth Proportional to 22,798.76, 31,462.62 and 13,367.48

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Solution

The fourth proportional to 22,798.76, 31,462.62 and 13,367.48 is: 18,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.76 : 31,462.62 = 13,367.48 : x
  2. Step 2: Convert to fraction form
    22,798.76/31,462.62 = 13,367.48/x
  3. Step 3: Cross multiply
    22,798.76x = 31,462.62 × 13,367.48
  4. Step 4: Simplify right side
    22,798.76x = 420,575,943.60
  5. Step 5: Solve for x
    x = 420,575,943.60/22,798.76
  6. Step 6: Final answer
    x = 18,447.32

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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.