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Finding the Fourth Proportional to 21,510.80, 32,263.78 and 7,468.24

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Solution

The fourth proportional to 21,510.80, 32,263.78 and 7,468.24 is: 11,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.80 : 32,263.78 = 7,468.24 : x
  2. Step 2: Convert to fraction form
    21,510.80/32,263.78 = 7,468.24/x
  3. Step 3: Cross multiply
    21,510.80x = 32,263.78 × 7,468.24
  4. Step 4: Simplify right side
    21,510.80x = 240,953,652.35
  5. Step 5: Solve for x
    x = 240,953,652.35/21,510.80
  6. Step 6: Final answer
    x = 11,201.52

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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.