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Finding the Fourth Proportional to 19,693.86, 29,532.15 and 7,210.65

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Solution

The fourth proportional to 19,693.86, 29,532.15 and 7,210.65 is: 10,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.86 : 29,532.15 = 7,210.65 : x
  2. Step 2: Convert to fraction form
    19,693.86/29,532.15 = 7,210.65/x
  3. Step 3: Cross multiply
    19,693.86x = 29,532.15 × 7,210.65
  4. Step 4: Simplify right side
    19,693.86x = 212,945,997.40
  5. Step 5: Solve for x
    x = 212,945,997.40/19,693.86
  6. Step 6: Final answer
    x = 10,812.81

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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.