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Finding the Fourth Proportional to 22,376.34, 33,568.20 and 7,587

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Solution

The fourth proportional to 22,376.34, 33,568.20 and 7,587 is: 11,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.34 : 33,568.20 = 7,587 : x
  2. Step 2: Convert to fraction form
    22,376.34/33,568.20 = 7,587/x
  3. Step 3: Cross multiply
    22,376.34x = 33,568.20 × 7,587
  4. Step 4: Simplify right side
    22,376.34x = 254,681,933.40
  5. Step 5: Solve for x
    x = 254,681,933.40/22,376.34
  6. Step 6: Final answer
    x = 11,381.75

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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.