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Finding the Fourth Proportional to 22,345.74, 33,516.87 and 10,502.10

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Solution

The fourth proportional to 22,345.74, 33,516.87 and 10,502.10 is: 15,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.74 : 33,516.87 = 10,502.10 : x
  2. Step 2: Convert to fraction form
    22,345.74/33,516.87 = 10,502.10/x
  3. Step 3: Cross multiply
    22,345.74x = 33,516.87 × 10,502.10
  4. Step 4: Simplify right side
    22,345.74x = 351,997,467.92
  5. Step 5: Solve for x
    x = 351,997,467.92/22,345.74
  6. Step 6: Final answer
    x = 15,752.33

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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.