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Finding the Fourth Proportional to 24,252, 33,462.72 and 14,178.47

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Solution

The fourth proportional to 24,252, 33,462.72 and 14,178.47 is: 19,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,252 : 33,462.72 = 14,178.47 : x
  2. Step 2: Convert to fraction form
    24,252/33,462.72 = 14,178.47/x
  3. Step 3: Cross multiply
    24,252x = 33,462.72 × 14,178.47
  4. Step 4: Simplify right side
    24,252x = 474,450,004.32
  5. Step 5: Solve for x
    x = 474,450,004.32/24,252
  6. Step 6: Final answer
    x = 19,563.34

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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.