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Finding the Fourth Proportional to 12,089.45, 16,683.75 and 7,842.26

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Solution

The fourth proportional to 12,089.45, 16,683.75 and 7,842.26 is: 10,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.45 : 16,683.75 = 7,842.26 : x
  2. Step 2: Convert to fraction form
    12,089.45/16,683.75 = 7,842.26/x
  3. Step 3: Cross multiply
    12,089.45x = 16,683.75 × 7,842.26
  4. Step 4: Simplify right side
    12,089.45x = 130,838,221.86
  5. Step 5: Solve for x
    x = 130,838,221.86/12,089.45
  6. Step 6: Final answer
    x = 10,822.52

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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.