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Finding the Fourth Proportional to 22,373.32, 33,558.12 and 7,582

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Solution

The fourth proportional to 22,373.32, 33,558.12 and 7,582 is: 11,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,373.32 : 33,558.12 = 7,582 : x
  2. Step 2: Convert to fraction form
    22,373.32/33,558.12 = 7,582/x
  3. Step 3: Cross multiply
    22,373.32x = 33,558.12 × 7,582
  4. Step 4: Simplify right side
    22,373.32x = 254,437,665.84
  5. Step 5: Solve for x
    x = 254,437,665.84/22,373.32
  6. Step 6: Final answer
    x = 11,372.37

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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.