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Finding the Fourth Proportional to 17,784.45, 26,677.22 and 6,097.50

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Solution

The fourth proportional to 17,784.45, 26,677.22 and 6,097.50 is: 9,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.45 : 26,677.22 = 6,097.50 : x
  2. Step 2: Convert to fraction form
    17,784.45/26,677.22 = 6,097.50/x
  3. Step 3: Cross multiply
    17,784.45x = 26,677.22 × 6,097.50
  4. Step 4: Simplify right side
    17,784.45x = 162,664,318.46
  5. Step 5: Solve for x
    x = 162,664,318.46/17,784.45
  6. Step 6: Final answer
    x = 9,146.44

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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.