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Finding the Fourth Proportional to 21,467.88, 32,212.76 and 9,779.58

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Solution

The fourth proportional to 21,467.88, 32,212.76 and 9,779.58 is: 14,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.88 : 32,212.76 = 9,779.58 : x
  2. Step 2: Convert to fraction form
    21,467.88/32,212.76 = 9,779.58/x
  3. Step 3: Cross multiply
    21,467.88x = 32,212.76 × 9,779.58
  4. Step 4: Simplify right side
    21,467.88x = 315,027,214.54
  5. Step 5: Solve for x
    x = 315,027,214.54/21,467.88
  6. Step 6: Final answer
    x = 14,674.35

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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.