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Finding the Fourth Proportional to 21,478.64, 32,222.44 and 6,689.52

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Solution

The fourth proportional to 21,478.64, 32,222.44 and 6,689.52 is: 10,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.64 : 32,222.44 = 6,689.52 : x
  2. Step 2: Convert to fraction form
    21,478.64/32,222.44 = 6,689.52/x
  3. Step 3: Cross multiply
    21,478.64x = 32,222.44 × 6,689.52
  4. Step 4: Simplify right side
    21,478.64x = 215,552,656.83
  5. Step 5: Solve for x
    x = 215,552,656.83/21,478.64
  6. Step 6: Final answer
    x = 10,035.68

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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.