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Finding the Fourth Proportional to 22,358.70, 33,537.96 and 7,569.18

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Solution

The fourth proportional to 22,358.70, 33,537.96 and 7,569.18 is: 11,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.70 : 33,537.96 = 7,569.18 : x
  2. Step 2: Convert to fraction form
    22,358.70/33,537.96 = 7,569.18/x
  3. Step 3: Cross multiply
    22,358.70x = 33,537.96 × 7,569.18
  4. Step 4: Simplify right side
    22,358.70x = 253,854,856.07
  5. Step 5: Solve for x
    x = 253,854,856.07/22,358.70
  6. Step 6: Final answer
    x = 11,353.74

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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.