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Finding the Fourth Proportional to 21,345.78, 32,023.42 and 6,556.19

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Solution

The fourth proportional to 21,345.78, 32,023.42 and 6,556.19 is: 9,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.78 : 32,023.42 = 6,556.19 : x
  2. Step 2: Convert to fraction form
    21,345.78/32,023.42 = 6,556.19/x
  3. Step 3: Cross multiply
    21,345.78x = 32,023.42 × 6,556.19
  4. Step 4: Simplify right side
    21,345.78x = 209,951,625.97
  5. Step 5: Solve for x
    x = 209,951,625.97/21,345.78
  6. Step 6: Final answer
    x = 9,835.74

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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.