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Finding the Fourth Proportional to 21,356.24, 32,034.36 and 7,502

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Solution

The fourth proportional to 21,356.24, 32,034.36 and 7,502 is: 11,253

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.24 : 32,034.36 = 7,502 : x
  2. Step 2: Convert to fraction form
    21,356.24/32,034.36 = 7,502/x
  3. Step 3: Cross multiply
    21,356.24x = 32,034.36 × 7,502
  4. Step 4: Simplify right side
    21,356.24x = 240,321,768.72
  5. Step 5: Solve for x
    x = 240,321,768.72/21,356.24
  6. Step 6: Final answer
    x = 11,253

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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.