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Finding the Fourth Proportional to 23,632.99, 32,593.66 and 14,199.73

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Solution

The fourth proportional to 23,632.99, 32,593.66 and 14,199.73 is: 19,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.99 : 32,593.66 = 14,199.73 : x
  2. Step 2: Convert to fraction form
    23,632.99/32,593.66 = 14,199.73/x
  3. Step 3: Cross multiply
    23,632.99x = 32,593.66 × 14,199.73
  4. Step 4: Simplify right side
    23,632.99x = 462,821,171.71
  5. Step 5: Solve for x
    x = 462,821,171.71/23,632.99
  6. Step 6: Final answer
    x = 19,583.69

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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.