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Finding the Fourth Proportional to 23,242.50, 32,074.53 and 12,632.19

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Solution

The fourth proportional to 23,242.50, 32,074.53 and 12,632.19 is: 17,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.50 : 32,074.53 = 12,632.19 : x
  2. Step 2: Convert to fraction form
    23,242.50/32,074.53 = 12,632.19/x
  3. Step 3: Cross multiply
    23,242.50x = 32,074.53 × 12,632.19
  4. Step 4: Simplify right side
    23,242.50x = 405,171,557.12
  5. Step 5: Solve for x
    x = 405,171,557.12/23,242.50
  6. Step 6: Final answer
    x = 17,432.36

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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.