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Finding the Fourth Proportional to 24,376.48, 36,564.56 and 6,846.34

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Solution

The fourth proportional to 24,376.48, 36,564.56 and 6,846.34 is: 10,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.48 : 36,564.56 = 6,846.34 : x
  2. Step 2: Convert to fraction form
    24,376.48/36,564.56 = 6,846.34/x
  3. Step 3: Cross multiply
    24,376.48x = 36,564.56 × 6,846.34
  4. Step 4: Simplify right side
    24,376.48x = 250,333,409.71
  5. Step 5: Solve for x
    x = 250,333,409.71/24,376.48
  6. Step 6: Final answer
    x = 10,269.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.