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Finding the Fourth Proportional to 17,868.02, 26,805.06 and 6,178.50

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Solution

The fourth proportional to 17,868.02, 26,805.06 and 6,178.50 is: 9,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.02 : 26,805.06 = 6,178.50 : x
  2. Step 2: Convert to fraction form
    17,868.02/26,805.06 = 6,178.50/x
  3. Step 3: Cross multiply
    17,868.02x = 26,805.06 × 6,178.50
  4. Step 4: Simplify right side
    17,868.02x = 165,615,063.21
  5. Step 5: Solve for x
    x = 165,615,063.21/17,868.02
  6. Step 6: Final answer
    x = 9,268.80

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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.