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Finding the Fourth Proportional to 22,771.64, 31,427.52 and 13,340

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Solution

The fourth proportional to 22,771.64, 31,427.52 and 13,340 is: 18,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.64 : 31,427.52 = 13,340 : x
  2. Step 2: Convert to fraction form
    22,771.64/31,427.52 = 13,340/x
  3. Step 3: Cross multiply
    22,771.64x = 31,427.52 × 13,340
  4. Step 4: Simplify right side
    22,771.64x = 419,243,116.80
  5. Step 5: Solve for x
    x = 419,243,116.80/22,771.64
  6. Step 6: Final answer
    x = 18,410.76

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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.