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Finding the Fourth Proportional to 21,624.48, 32,422.32 and 7,771.68

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Solution

The fourth proportional to 21,624.48, 32,422.32 and 7,771.68 is: 11,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.48 : 32,422.32 = 7,771.68 : x
  2. Step 2: Convert to fraction form
    21,624.48/32,422.32 = 7,771.68/x
  3. Step 3: Cross multiply
    21,624.48x = 32,422.32 × 7,771.68
  4. Step 4: Simplify right side
    21,624.48x = 251,975,895.90
  5. Step 5: Solve for x
    x = 251,975,895.90/21,624.48
  6. Step 6: Final answer
    x = 11,652.34

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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.