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Finding the Fourth Proportional to 17,870.88, 26,808.16 and 6,184.08

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Solution

The fourth proportional to 17,870.88, 26,808.16 and 6,184.08 is: 9,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.88 : 26,808.16 = 6,184.08 : x
  2. Step 2: Convert to fraction form
    17,870.88/26,808.16 = 6,184.08/x
  3. Step 3: Cross multiply
    17,870.88x = 26,808.16 × 6,184.08
  4. Step 4: Simplify right side
    17,870.88x = 165,783,806.09
  5. Step 5: Solve for x
    x = 165,783,806.09/17,870.88
  6. Step 6: Final answer
    x = 9,276.76

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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.