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Finding the Fourth Proportional to 15,077.25, 20,808.99 and 9,109.77

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Solution

The fourth proportional to 15,077.25, 20,808.99 and 9,109.77 is: 12,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.25 : 20,808.99 = 9,109.77 : x
  2. Step 2: Convert to fraction form
    15,077.25/20,808.99 = 9,109.77/x
  3. Step 3: Cross multiply
    15,077.25x = 20,808.99 × 9,109.77
  4. Step 4: Simplify right side
    15,077.25x = 189,565,112.83
  5. Step 5: Solve for x
    x = 189,565,112.83/15,077.25
  6. Step 6: Final answer
    x = 12,572.92

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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.