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Finding the Fourth Proportional to 24,392.97, 33,664.28 and 13,784.81

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Solution

The fourth proportional to 24,392.97, 33,664.28 and 13,784.81 is: 19,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.97 : 33,664.28 = 13,784.81 : x
  2. Step 2: Convert to fraction form
    24,392.97/33,664.28 = 13,784.81/x
  3. Step 3: Cross multiply
    24,392.97x = 33,664.28 × 13,784.81
  4. Step 4: Simplify right side
    24,392.97x = 464,055,466.34
  5. Step 5: Solve for x
    x = 464,055,466.34/24,392.97
  6. Step 6: Final answer
    x = 19,024.15

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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.