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Finding the Fourth Proportional to 17,564.18, 26,344.64 and 5,877.50

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Solution

The fourth proportional to 17,564.18, 26,344.64 and 5,877.50 is: 8,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.18 : 26,344.64 = 5,877.50 : x
  2. Step 2: Convert to fraction form
    17,564.18/26,344.64 = 5,877.50/x
  3. Step 3: Cross multiply
    17,564.18x = 26,344.64 × 5,877.50
  4. Step 4: Simplify right side
    17,564.18x = 154,840,504.57
  5. Step 5: Solve for x
    x = 154,840,504.57/17,564.18
  6. Step 6: Final answer
    x = 8,815.70

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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.