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Finding the Fourth Proportional to 14,366.84, 19,825.18 and 8,078

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Solution

The fourth proportional to 14,366.84, 19,825.18 and 8,078 is: 11,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.84 : 19,825.18 = 8,078 : x
  2. Step 2: Convert to fraction form
    14,366.84/19,825.18 = 8,078/x
  3. Step 3: Cross multiply
    14,366.84x = 19,825.18 × 8,078
  4. Step 4: Simplify right side
    14,366.84x = 160,147,804.04
  5. Step 5: Solve for x
    x = 160,147,804.04/14,366.84
  6. Step 6: Final answer
    x = 11,147.04

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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.