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Finding the Fourth Proportional to 24,502.74, 33,808.56 and 14,427.50

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Solution

The fourth proportional to 24,502.74, 33,808.56 and 14,427.50 is: 19,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.74 : 33,808.56 = 14,427.50 : x
  2. Step 2: Convert to fraction form
    24,502.74/33,808.56 = 14,427.50/x
  3. Step 3: Cross multiply
    24,502.74x = 33,808.56 × 14,427.50
  4. Step 4: Simplify right side
    24,502.74x = 487,772,830.36
  5. Step 5: Solve for x
    x = 487,772,830.36/24,502.74
  6. Step 6: Final answer
    x = 19,906.87

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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.