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Finding the Fourth Proportional to 22,169.16, 33,235.01 and 10,316.81

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Solution

The fourth proportional to 22,169.16, 33,235.01 and 10,316.81 is: 15,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169.16 : 33,235.01 = 10,316.81 : x
  2. Step 2: Convert to fraction form
    22,169.16/33,235.01 = 10,316.81/x
  3. Step 3: Cross multiply
    22,169.16x = 33,235.01 × 10,316.81
  4. Step 4: Simplify right side
    22,169.16x = 342,879,315.02
  5. Step 5: Solve for x
    x = 342,879,315.02/22,169.16
  6. Step 6: Final answer
    x = 15,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.