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Finding the Fourth Proportional to 22,106, 33,152 and 7,312.16

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Solution

The fourth proportional to 22,106, 33,152 and 7,312.16 is: 10,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106 : 33,152 = 7,312.16 : x
  2. Step 2: Convert to fraction form
    22,106/33,152 = 7,312.16/x
  3. Step 3: Cross multiply
    22,106x = 33,152 × 7,312.16
  4. Step 4: Simplify right side
    22,106x = 242,412,728.32
  5. Step 5: Solve for x
    x = 242,412,728.32/22,106
  6. Step 6: Final answer
    x = 10,965.92

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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.