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Finding the Fourth Proportional to 24,510.70, 33,824.76 and 13,900.33

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Solution

The fourth proportional to 24,510.70, 33,824.76 and 13,900.33 is: 19,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.70 : 33,824.76 = 13,900.33 : x
  2. Step 2: Convert to fraction form
    24,510.70/33,824.76 = 13,900.33/x
  3. Step 3: Cross multiply
    24,510.70x = 33,824.76 × 13,900.33
  4. Step 4: Simplify right side
    24,510.70x = 470,175,326.17
  5. Step 5: Solve for x
    x = 470,175,326.17/24,510.70
  6. Step 6: Final answer
    x = 19,182.45

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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.