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Finding the Fourth Proportional to 21,654.48, 32,467.32 and 7,801.68

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Solution

The fourth proportional to 21,654.48, 32,467.32 and 7,801.68 is: 11,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.48 : 32,467.32 = 7,801.68 : x
  2. Step 2: Convert to fraction form
    21,654.48/32,467.32 = 7,801.68/x
  3. Step 3: Cross multiply
    21,654.48x = 32,467.32 × 7,801.68
  4. Step 4: Simplify right side
    21,654.48x = 253,299,641.10
  5. Step 5: Solve for x
    x = 253,299,641.10/21,654.48
  6. Step 6: Final answer
    x = 11,697.33

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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.