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Finding the Fourth Proportional to 12,582.24, 17,363.36 and 6,917.32

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Solution

The fourth proportional to 12,582.24, 17,363.36 and 6,917.32 is: 9,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.24 : 17,363.36 = 6,917.32 : x
  2. Step 2: Convert to fraction form
    12,582.24/17,363.36 = 6,917.32/x
  3. Step 3: Cross multiply
    12,582.24x = 17,363.36 × 6,917.32
  4. Step 4: Simplify right side
    12,582.24x = 120,107,917.40
  5. Step 5: Solve for x
    x = 120,107,917.40/12,582.24
  6. Step 6: Final answer
    x = 9,545.83

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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.