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Finding the Fourth Proportional to 15,683.85, 23,518.22 and 9,111.92

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Solution

The fourth proportional to 15,683.85, 23,518.22 and 9,111.92 is: 13,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.85 : 23,518.22 = 9,111.92 : x
  2. Step 2: Convert to fraction form
    15,683.85/23,518.22 = 9,111.92/x
  3. Step 3: Cross multiply
    15,683.85x = 23,518.22 × 9,111.92
  4. Step 4: Simplify right side
    15,683.85x = 214,295,976.03
  5. Step 5: Solve for x
    x = 214,295,976.03/15,683.85
  6. Step 6: Final answer
    x = 13,663.48

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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.