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Finding the Fourth Proportional to 22,423.49, 33,637.16 and 5,783.38

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Solution

The fourth proportional to 22,423.49, 33,637.16 and 5,783.38 is: 8,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.49 : 33,637.16 = 5,783.38 : x
  2. Step 2: Convert to fraction form
    22,423.49/33,637.16 = 5,783.38/x
  3. Step 3: Cross multiply
    22,423.49x = 33,637.16 × 5,783.38
  4. Step 4: Simplify right side
    22,423.49x = 194,536,478.40
  5. Step 5: Solve for x
    x = 194,536,478.40/22,423.49
  6. Step 6: Final answer
    x = 8,675.57

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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.