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Finding the Fourth Proportional to 24,509.45, 33,823.04 and 13,899.08

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Solution

The fourth proportional to 24,509.45, 33,823.04 and 13,899.08 is: 19,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.45 : 33,823.04 = 13,899.08 : x
  2. Step 2: Convert to fraction form
    24,509.45/33,823.04 = 13,899.08/x
  3. Step 3: Cross multiply
    24,509.45x = 33,823.04 × 13,899.08
  4. Step 4: Simplify right side
    24,509.45x = 470,109,069.31
  5. Step 5: Solve for x
    x = 470,109,069.31/24,509.45
  6. Step 6: Final answer
    x = 19,180.73

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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.