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Finding the Fourth Proportional to 21,779.96, 32,661.14 and 8,445.93

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Solution

The fourth proportional to 21,779.96, 32,661.14 and 8,445.93 is: 12,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779.96 : 32,661.14 = 8,445.93 : x
  2. Step 2: Convert to fraction form
    21,779.96/32,661.14 = 8,445.93/x
  3. Step 3: Cross multiply
    21,779.96x = 32,661.14 × 8,445.93
  4. Step 4: Simplify right side
    21,779.96x = 275,853,804.93
  5. Step 5: Solve for x
    x = 275,853,804.93/21,779.96
  6. Step 6: Final answer
    x = 12,665.49

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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.