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Finding the Fourth Proportional to 22,038.48, 33,057.72 and 6,456.11

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Solution

The fourth proportional to 22,038.48, 33,057.72 and 6,456.11 is: 9,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.48 : 33,057.72 = 6,456.11 : x
  2. Step 2: Convert to fraction form
    22,038.48/33,057.72 = 6,456.11/x
  3. Step 3: Cross multiply
    22,038.48x = 33,057.72 × 6,456.11
  4. Step 4: Simplify right side
    22,038.48x = 213,424,111.38
  5. Step 5: Solve for x
    x = 213,424,111.38/22,038.48
  6. Step 6: Final answer
    x = 9,684.16

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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.