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Finding the Fourth Proportional to 12,032.82, 16,594.47 and 7,779.39

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Solution

The fourth proportional to 12,032.82, 16,594.47 and 7,779.39 is: 10,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.82 : 16,594.47 = 7,779.39 : x
  2. Step 2: Convert to fraction form
    12,032.82/16,594.47 = 7,779.39/x
  3. Step 3: Cross multiply
    12,032.82x = 16,594.47 × 7,779.39
  4. Step 4: Simplify right side
    12,032.82x = 129,094,853.97
  5. Step 5: Solve for x
    x = 129,094,853.97/12,032.82
  6. Step 6: Final answer
    x = 10,728.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.