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Finding the Fourth Proportional to 24,438.49, 33,726.80 and 13,684.37

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Solution

The fourth proportional to 24,438.49, 33,726.80 and 13,684.37 is: 18,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.49 : 33,726.80 = 13,684.37 : x
  2. Step 2: Convert to fraction form
    24,438.49/33,726.80 = 13,684.37/x
  3. Step 3: Cross multiply
    24,438.49x = 33,726.80 × 13,684.37
  4. Step 4: Simplify right side
    24,438.49x = 461,529,875.69
  5. Step 5: Solve for x
    x = 461,529,875.69/24,438.49
  6. Step 6: Final answer
    x = 18,885.37

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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.