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Finding the Fourth Proportional to 24,585.09, 33,927.42 and 13,407.09

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Solution

The fourth proportional to 24,585.09, 33,927.42 and 13,407.09 is: 18,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.09 : 33,927.42 = 13,407.09 : x
  2. Step 2: Convert to fraction form
    24,585.09/33,927.42 = 13,407.09/x
  3. Step 3: Cross multiply
    24,585.09x = 33,927.42 × 13,407.09
  4. Step 4: Simplify right side
    24,585.09x = 454,867,973.41
  5. Step 5: Solve for x
    x = 454,867,973.41/24,585.09
  6. Step 6: Final answer
    x = 18,501.78

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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.