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Finding the Fourth Proportional to 13,582.69, 20,385.07 and 7,010.75

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Solution

The fourth proportional to 13,582.69, 20,385.07 and 7,010.75 is: 10,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.69 : 20,385.07 = 7,010.75 : x
  2. Step 2: Convert to fraction form
    13,582.69/20,385.07 = 7,010.75/x
  3. Step 3: Cross multiply
    13,582.69x = 20,385.07 × 7,010.75
  4. Step 4: Simplify right side
    13,582.69x = 142,914,662.94
  5. Step 5: Solve for x
    x = 142,914,662.94/13,582.69
  6. Step 6: Final answer
    x = 10,521.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.