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Finding the Fourth Proportional to 15,683.16, 21,642.36 and 8,609.52

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Solution

The fourth proportional to 15,683.16, 21,642.36 and 8,609.52 is: 11,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.16 : 21,642.36 = 8,609.52 : x
  2. Step 2: Convert to fraction form
    15,683.16/21,642.36 = 8,609.52/x
  3. Step 3: Cross multiply
    15,683.16x = 21,642.36 × 8,609.52
  4. Step 4: Simplify right side
    15,683.16x = 186,330,331.27
  5. Step 5: Solve for x
    x = 186,330,331.27/15,683.16
  6. Step 6: Final answer
    x = 11,880.92

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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.