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Finding the Fourth Proportional to 16,078.10, 22,188.96 and 9,706.26

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Solution

The fourth proportional to 16,078.10, 22,188.96 and 9,706.26 is: 13,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.10 : 22,188.96 = 9,706.26 : x
  2. Step 2: Convert to fraction form
    16,078.10/22,188.96 = 9,706.26/x
  3. Step 3: Cross multiply
    16,078.10x = 22,188.96 × 9,706.26
  4. Step 4: Simplify right side
    16,078.10x = 215,371,766.36
  5. Step 5: Solve for x
    x = 215,371,766.36/16,078.10
  6. Step 6: Final answer
    x = 13,395.35

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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.