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Finding the Fourth Proportional to 24,484.56, 33,784.52 and 13,872

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Solution

The fourth proportional to 24,484.56, 33,784.52 and 13,872 is: 19,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.56 : 33,784.52 = 13,872 : x
  2. Step 2: Convert to fraction form
    24,484.56/33,784.52 = 13,872/x
  3. Step 3: Cross multiply
    24,484.56x = 33,784.52 × 13,872
  4. Step 4: Simplify right side
    24,484.56x = 468,658,861.44
  5. Step 5: Solve for x
    x = 468,658,861.44/24,484.56
  6. Step 6: Final answer
    x = 19,141.00

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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.