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Finding the Fourth Proportional to 14,064.18, 19,409.74 and 8,097.78

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Solution

The fourth proportional to 14,064.18, 19,409.74 and 8,097.78 is: 11,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.18 : 19,409.74 = 8,097.78 : x
  2. Step 2: Convert to fraction form
    14,064.18/19,409.74 = 8,097.78/x
  3. Step 3: Cross multiply
    14,064.18x = 19,409.74 × 8,097.78
  4. Step 4: Simplify right side
    14,064.18x = 157,175,804.38
  5. Step 5: Solve for x
    x = 157,175,804.38/14,064.18
  6. Step 6: Final answer
    x = 11,175.61

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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.