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Finding the Fourth Proportional to 14,595.74, 21,895.14 and 6,696.92

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Solution

The fourth proportional to 14,595.74, 21,895.14 and 6,696.92 is: 10,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.74 : 21,895.14 = 6,696.92 : x
  2. Step 2: Convert to fraction form
    14,595.74/21,895.14 = 6,696.92/x
  3. Step 3: Cross multiply
    14,595.74x = 21,895.14 × 6,696.92
  4. Step 4: Simplify right side
    14,595.74x = 146,629,891.49
  5. Step 5: Solve for x
    x = 146,629,891.49/14,595.74
  6. Step 6: Final answer
    x = 10,046.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.