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Finding the Fourth Proportional to 22,357.32, 30,851.55 and 13,400.34

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Solution

The fourth proportional to 22,357.32, 30,851.55 and 13,400.34 is: 18,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.32 : 30,851.55 = 13,400.34 : x
  2. Step 2: Convert to fraction form
    22,357.32/30,851.55 = 13,400.34/x
  3. Step 3: Cross multiply
    22,357.32x = 30,851.55 × 13,400.34
  4. Step 4: Simplify right side
    22,357.32x = 413,421,259.53
  5. Step 5: Solve for x
    x = 413,421,259.53/22,357.32
  6. Step 6: Final answer
    x = 18,491.54

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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.