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Finding the Fourth Proportional to 23,911.76, 32,997.42 and 13,301.16

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Solution

The fourth proportional to 23,911.76, 32,997.42 and 13,301.16 is: 18,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911.76 : 32,997.42 = 13,301.16 : x
  2. Step 2: Convert to fraction form
    23,911.76/32,997.42 = 13,301.16/x
  3. Step 3: Cross multiply
    23,911.76x = 32,997.42 × 13,301.16
  4. Step 4: Simplify right side
    23,911.76x = 438,903,963.01
  5. Step 5: Solve for x
    x = 438,903,963.01/23,911.76
  6. Step 6: Final answer
    x = 18,355.15

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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.