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Finding the Fourth Proportional to 12,089.39, 16,682.22 and 9,577.71

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Solution

The fourth proportional to 12,089.39, 16,682.22 and 9,577.71 is: 13,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.39 : 16,682.22 = 9,577.71 : x
  2. Step 2: Convert to fraction form
    12,089.39/16,682.22 = 9,577.71/x
  3. Step 3: Cross multiply
    12,089.39x = 16,682.22 × 9,577.71
  4. Step 4: Simplify right side
    12,089.39x = 159,777,465.32
  5. Step 5: Solve for x
    x = 159,777,465.32/12,089.39
  6. Step 6: Final answer
    x = 13,216.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.