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Finding the Fourth Proportional to 21,506.80, 32,257.78 and 7,464.24

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Solution

The fourth proportional to 21,506.80, 32,257.78 and 7,464.24 is: 11,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.80 : 32,257.78 = 7,464.24 : x
  2. Step 2: Convert to fraction form
    21,506.80/32,257.78 = 7,464.24/x
  3. Step 3: Cross multiply
    21,506.80x = 32,257.78 × 7,464.24
  4. Step 4: Simplify right side
    21,506.80x = 240,779,811.79
  5. Step 5: Solve for x
    x = 240,779,811.79/21,506.80
  6. Step 6: Final answer
    x = 11,195.52

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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.