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Finding the Fourth Proportional to 16,298.22, 22,493.79 and 9,585.48

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Solution

The fourth proportional to 16,298.22, 22,493.79 and 9,585.48 is: 13,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.22 : 22,493.79 = 9,585.48 : x
  2. Step 2: Convert to fraction form
    16,298.22/22,493.79 = 9,585.48/x
  3. Step 3: Cross multiply
    16,298.22x = 22,493.79 × 9,585.48
  4. Step 4: Simplify right side
    16,298.22x = 215,613,774.17
  5. Step 5: Solve for x
    x = 215,613,774.17/16,298.22
  6. Step 6: Final answer
    x = 13,229.28

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