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Finding the Fourth Proportional to 23,242.51, 32,074.86 and 12,632.14

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Solution

The fourth proportional to 23,242.51, 32,074.86 and 12,632.14 is: 17,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.51 : 32,074.86 = 12,632.14 : x
  2. Step 2: Convert to fraction form
    23,242.51/32,074.86 = 12,632.14/x
  3. Step 3: Cross multiply
    23,242.51x = 32,074.86 × 12,632.14
  4. Step 4: Simplify right side
    23,242.51x = 405,174,122.00
  5. Step 5: Solve for x
    x = 405,174,122.00/23,242.51
  6. Step 6: Final answer
    x = 17,432.46

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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.