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Finding the Fourth Proportional to 16,011.65, 22,078.11 and 10,338.95

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Solution

The fourth proportional to 16,011.65, 22,078.11 and 10,338.95 is: 14,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.65 : 22,078.11 = 10,338.95 : x
  2. Step 2: Convert to fraction form
    16,011.65/22,078.11 = 10,338.95/x
  3. Step 3: Cross multiply
    16,011.65x = 22,078.11 × 10,338.95
  4. Step 4: Simplify right side
    16,011.65x = 228,264,475.38
  5. Step 5: Solve for x
    x = 228,264,475.38/16,011.65
  6. Step 6: Final answer
    x = 14,256.15

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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.