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Finding the Fourth Proportional to 22,341.61, 33,513.23 and 6,543.78

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Solution

The fourth proportional to 22,341.61, 33,513.23 and 6,543.78 is: 9,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,341.61 : 33,513.23 = 6,543.78 : x
  2. Step 2: Convert to fraction form
    22,341.61/33,513.23 = 6,543.78/x
  3. Step 3: Cross multiply
    22,341.61x = 33,513.23 × 6,543.78
  4. Step 4: Simplify right side
    22,341.61x = 219,303,204.21
  5. Step 5: Solve for x
    x = 219,303,204.21/22,341.61
  6. Step 6: Final answer
    x = 9,815.91

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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.