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Finding the Fourth Proportional to 11,638.40, 17,480 and 9,976.32

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Solution

The fourth proportional to 11,638.40, 17,480 and 9,976.32 is: 14,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.40 : 17,480 = 9,976.32 : x
  2. Step 2: Convert to fraction form
    11,638.40/17,480 = 9,976.32/x
  3. Step 3: Cross multiply
    11,638.40x = 17,480 × 9,976.32
  4. Step 4: Simplify right side
    11,638.40x = 174,386,073.60
  5. Step 5: Solve for x
    x = 174,386,073.60/11,638.40
  6. Step 6: Final answer
    x = 14,983.68

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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.