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Finding the Fourth Proportional to 22,997.50, 31,736.58 and 13,061.50

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Solution

The fourth proportional to 22,997.50, 31,736.58 and 13,061.50 is: 18,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.50 : 31,736.58 = 13,061.50 : x
  2. Step 2: Convert to fraction form
    22,997.50/31,736.58 = 13,061.50/x
  3. Step 3: Cross multiply
    22,997.50x = 31,736.58 × 13,061.50
  4. Step 4: Simplify right side
    22,997.50x = 414,527,339.67
  5. Step 5: Solve for x
    x = 414,527,339.67/22,997.50
  6. Step 6: Final answer
    x = 18,024.89

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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.