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Finding the Fourth Proportional to 23,993.30, 33,110 and 13,384.74

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Solution

The fourth proportional to 23,993.30, 33,110 and 13,384.74 is: 18,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.30 : 33,110 = 13,384.74 : x
  2. Step 2: Convert to fraction form
    23,993.30/33,110 = 13,384.74/x
  3. Step 3: Cross multiply
    23,993.30x = 33,110 × 13,384.74
  4. Step 4: Simplify right side
    23,993.30x = 443,168,741.40
  5. Step 5: Solve for x
    x = 443,168,741.40/23,993.30
  6. Step 6: Final answer
    x = 18,470.52

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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.