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Finding the Fourth Proportional to 12,582.69, 17,363.76 and 6,917.45

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Solution

The fourth proportional to 12,582.69, 17,363.76 and 6,917.45 is: 9,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.69 : 17,363.76 = 6,917.45 : x
  2. Step 2: Convert to fraction form
    12,582.69/17,363.76 = 6,917.45/x
  3. Step 3: Cross multiply
    12,582.69x = 17,363.76 × 6,917.45
  4. Step 4: Simplify right side
    12,582.69x = 120,112,828.85
  5. Step 5: Solve for x
    x = 120,112,828.85/12,582.69
  6. Step 6: Final answer
    x = 9,545.88

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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.