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Finding the Fourth Proportional to 21,777.60, 32,669.28 and 6,981.60

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Solution

The fourth proportional to 21,777.60, 32,669.28 and 6,981.60 is: 10,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.60 : 32,669.28 = 6,981.60 : x
  2. Step 2: Convert to fraction form
    21,777.60/32,669.28 = 6,981.60/x
  3. Step 3: Cross multiply
    21,777.60x = 32,669.28 × 6,981.60
  4. Step 4: Simplify right side
    21,777.60x = 228,083,845.25
  5. Step 5: Solve for x
    x = 228,083,845.25/21,777.60
  6. Step 6: Final answer
    x = 10,473.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.