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Finding the Fourth Proportional to 21,641.36, 32,463.68 and 5,846.16

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Solution

The fourth proportional to 21,641.36, 32,463.68 and 5,846.16 is: 8,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.36 : 32,463.68 = 5,846.16 : x
  2. Step 2: Convert to fraction form
    21,641.36/32,463.68 = 5,846.16/x
  3. Step 3: Cross multiply
    21,641.36x = 32,463.68 × 5,846.16
  4. Step 4: Simplify right side
    21,641.36x = 189,787,867.47
  5. Step 5: Solve for x
    x = 189,787,867.47/21,641.36
  6. Step 6: Final answer
    x = 8,769.68

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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.