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Finding the Fourth Proportional to 16,340.88, 22,538.34 and 10,367.40

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Solution

The fourth proportional to 16,340.88, 22,538.34 and 10,367.40 is: 14,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.88 : 22,538.34 = 10,367.40 : x
  2. Step 2: Convert to fraction form
    16,340.88/22,538.34 = 10,367.40/x
  3. Step 3: Cross multiply
    16,340.88x = 22,538.34 × 10,367.40
  4. Step 4: Simplify right side
    16,340.88x = 233,663,986.12
  5. Step 5: Solve for x
    x = 233,663,986.12/16,340.88
  6. Step 6: Final answer
    x = 14,299.35

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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.