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Finding the Fourth Proportional to 22,038.16, 33,054 and 7,246.48

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Solution

The fourth proportional to 22,038.16, 33,054 and 7,246.48 is: 10,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.16 : 33,054 = 7,246.48 : x
  2. Step 2: Convert to fraction form
    22,038.16/33,054 = 7,246.48/x
  3. Step 3: Cross multiply
    22,038.16x = 33,054 × 7,246.48
  4. Step 4: Simplify right side
    22,038.16x = 239,525,149.92
  5. Step 5: Solve for x
    x = 239,525,149.92/22,038.16
  6. Step 6: Final answer
    x = 10,868.65

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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.