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Finding the Fourth Proportional to 16,570.34, 24,855.60 and 6,182

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Solution

The fourth proportional to 16,570.34, 24,855.60 and 6,182 is: 9,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.34 : 24,855.60 = 6,182 : x
  2. Step 2: Convert to fraction form
    16,570.34/24,855.60 = 6,182/x
  3. Step 3: Cross multiply
    16,570.34x = 24,855.60 × 6,182
  4. Step 4: Simplify right side
    16,570.34x = 153,657,319.20
  5. Step 5: Solve for x
    x = 153,657,319.20/16,570.34
  6. Step 6: Final answer
    x = 9,273.03

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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.