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Finding the Fourth Proportional to 24,376.32, 33,638.94 and 13,769.34

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Solution

The fourth proportional to 24,376.32, 33,638.94 and 13,769.34 is: 19,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.32 : 33,638.94 = 13,769.34 : x
  2. Step 2: Convert to fraction form
    24,376.32/33,638.94 = 13,769.34/x
  3. Step 3: Cross multiply
    24,376.32x = 33,638.94 × 13,769.34
  4. Step 4: Simplify right side
    24,376.32x = 463,186,002.10
  5. Step 5: Solve for x
    x = 463,186,002.10/24,376.32
  6. Step 6: Final answer
    x = 19,001.47

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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.