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Finding the Fourth Proportional to 22,537.32, 33,795.72 and 9,381.84

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Solution

The fourth proportional to 22,537.32, 33,795.72 and 9,381.84 is: 14,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.32 : 33,795.72 = 9,381.84 : x
  2. Step 2: Convert to fraction form
    22,537.32/33,795.72 = 9,381.84/x
  3. Step 3: Cross multiply
    22,537.32x = 33,795.72 × 9,381.84
  4. Step 4: Simplify right side
    22,537.32x = 317,066,037.72
  5. Step 5: Solve for x
    x = 317,066,037.72/22,537.32
  6. Step 6: Final answer
    x = 14,068.49

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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.