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Finding the Fourth Proportional to 21,583.77, 32,366.39 and 7,539.58

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Solution

The fourth proportional to 21,583.77, 32,366.39 and 7,539.58 is: 11,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.77 : 32,366.39 = 7,539.58 : x
  2. Step 2: Convert to fraction form
    21,583.77/32,366.39 = 7,539.58/x
  3. Step 3: Cross multiply
    21,583.77x = 32,366.39 × 7,539.58
  4. Step 4: Simplify right side
    21,583.77x = 244,028,989.48
  5. Step 5: Solve for x
    x = 244,028,989.48/21,583.77
  6. Step 6: Final answer
    x = 11,306.14

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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.