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Finding the Fourth Proportional to 16,182, 22,331.70 and 9,893.16

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Solution

The fourth proportional to 16,182, 22,331.70 and 9,893.16 is: 13,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182 : 22,331.70 = 9,893.16 : x
  2. Step 2: Convert to fraction form
    16,182/22,331.70 = 9,893.16/x
  3. Step 3: Cross multiply
    16,182x = 22,331.70 × 9,893.16
  4. Step 4: Simplify right side
    16,182x = 220,931,081.17
  5. Step 5: Solve for x
    x = 220,931,081.17/16,182
  6. Step 6: Final answer
    x = 13,652.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.