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Finding the Fourth Proportional to 21,597.93, 32,399.64 and 8,448.62

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Solution

The fourth proportional to 21,597.93, 32,399.64 and 8,448.62 is: 12,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.93 : 32,399.64 = 8,448.62 : x
  2. Step 2: Convert to fraction form
    21,597.93/32,399.64 = 8,448.62/x
  3. Step 3: Cross multiply
    21,597.93x = 32,399.64 × 8,448.62
  4. Step 4: Simplify right side
    21,597.93x = 273,732,084.50
  5. Step 5: Solve for x
    x = 273,732,084.50/21,597.93
  6. Step 6: Final answer
    x = 12,674.00

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Why These Related Problems?

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