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Finding the Fourth Proportional to 24,461.92, 33,758.64 and 13,852

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Solution

The fourth proportional to 24,461.92, 33,758.64 and 13,852 is: 19,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.92 : 33,758.64 = 13,852 : x
  2. Step 2: Convert to fraction form
    24,461.92/33,758.64 = 13,852/x
  3. Step 3: Cross multiply
    24,461.92x = 33,758.64 × 13,852
  4. Step 4: Simplify right side
    24,461.92x = 467,624,681.28
  5. Step 5: Solve for x
    x = 467,624,681.28/24,461.92
  6. Step 6: Final answer
    x = 19,116.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.