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Finding the Fourth Proportional to 22,023.82, 33,038.06 and 9,545.10

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Solution

The fourth proportional to 22,023.82, 33,038.06 and 9,545.10 is: 14,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.82 : 33,038.06 = 9,545.10 : x
  2. Step 2: Convert to fraction form
    22,023.82/33,038.06 = 9,545.10/x
  3. Step 3: Cross multiply
    22,023.82x = 33,038.06 × 9,545.10
  4. Step 4: Simplify right side
    22,023.82x = 315,351,586.51
  5. Step 5: Solve for x
    x = 315,351,586.51/22,023.82
  6. Step 6: Final answer
    x = 14,318.66

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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.