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Finding the Fourth Proportional to 23,632.88, 32,593.51 and 14,199.62

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Solution

The fourth proportional to 23,632.88, 32,593.51 and 14,199.62 is: 19,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.88 : 32,593.51 = 14,199.62 : x
  2. Step 2: Convert to fraction form
    23,632.88/32,593.51 = 14,199.62/x
  3. Step 3: Cross multiply
    23,632.88x = 32,593.51 × 14,199.62
  4. Step 4: Simplify right side
    23,632.88x = 462,815,534.52
  5. Step 5: Solve for x
    x = 462,815,534.52/23,632.88
  6. Step 6: Final answer
    x = 19,583.54

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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.