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Finding the Fourth Proportional to 24,510.79, 33,824.01 and 13,902.49

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Solution

The fourth proportional to 24,510.79, 33,824.01 and 13,902.49 is: 19,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.79 : 33,824.01 = 13,902.49 : x
  2. Step 2: Convert to fraction form
    24,510.79/33,824.01 = 13,902.49/x
  3. Step 3: Cross multiply
    24,510.79x = 33,824.01 × 13,902.49
  4. Step 4: Simplify right side
    24,510.79x = 470,237,960.78
  5. Step 5: Solve for x
    x = 470,237,960.78/24,510.79
  6. Step 6: Final answer
    x = 19,184.94

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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.