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Finding the Fourth Proportional to 21,671.52, 32,507.28 and 7,628.24

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Solution

The fourth proportional to 21,671.52, 32,507.28 and 7,628.24 is: 11,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.52 : 32,507.28 = 7,628.24 : x
  2. Step 2: Convert to fraction form
    21,671.52/32,507.28 = 7,628.24/x
  3. Step 3: Cross multiply
    21,671.52x = 32,507.28 × 7,628.24
  4. Step 4: Simplify right side
    21,671.52x = 247,973,333.59
  5. Step 5: Solve for x
    x = 247,973,333.59/21,671.52
  6. Step 6: Final answer
    x = 11,442.36

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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.