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Finding the Fourth Proportional to 22,543.16, 33,823.38 and 9,392

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Solution

The fourth proportional to 22,543.16, 33,823.38 and 9,392 is: 14,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.16 : 33,823.38 = 9,392 : x
  2. Step 2: Convert to fraction form
    22,543.16/33,823.38 = 9,392/x
  3. Step 3: Cross multiply
    22,543.16x = 33,823.38 × 9,392
  4. Step 4: Simplify right side
    22,543.16x = 317,669,184.96
  5. Step 5: Solve for x
    x = 317,669,184.96/22,543.16
  6. Step 6: Final answer
    x = 14,091.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.