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Finding the Fourth Proportional to 24,509.32, 33,828.87 and 13,905.16

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Solution

The fourth proportional to 24,509.32, 33,828.87 and 13,905.16 is: 19,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.32 : 33,828.87 = 13,905.16 : x
  2. Step 2: Convert to fraction form
    24,509.32/33,828.87 = 13,905.16/x
  3. Step 3: Cross multiply
    24,509.32x = 33,828.87 × 13,905.16
  4. Step 4: Simplify right side
    24,509.32x = 470,395,849.97
  5. Step 5: Solve for x
    x = 470,395,849.97/24,509.32
  6. Step 6: Final answer
    x = 19,192.53

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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.