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Finding the Fourth Proportional to 22,358.29, 33,536.70 and 9,200.74

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Solution

The fourth proportional to 22,358.29, 33,536.70 and 9,200.74 is: 13,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.29 : 33,536.70 = 9,200.74 : x
  2. Step 2: Convert to fraction form
    22,358.29/33,536.70 = 9,200.74/x
  3. Step 3: Cross multiply
    22,358.29x = 33,536.70 × 9,200.74
  4. Step 4: Simplify right side
    22,358.29x = 308,562,457.16
  5. Step 5: Solve for x
    x = 308,562,457.16/22,358.29
  6. Step 6: Final answer
    x = 13,800.81

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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.