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Finding the Fourth Proportional to 18,643.40, 27,948.52 and 6,794.95

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Solution

The fourth proportional to 18,643.40, 27,948.52 and 6,794.95 is: 10,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.40 : 27,948.52 = 6,794.95 : x
  2. Step 2: Convert to fraction form
    18,643.40/27,948.52 = 6,794.95/x
  3. Step 3: Cross multiply
    18,643.40x = 27,948.52 × 6,794.95
  4. Step 4: Simplify right side
    18,643.40x = 189,908,807.19
  5. Step 5: Solve for x
    x = 189,908,807.19/18,643.40
  6. Step 6: Final answer
    x = 10,186.38

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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.