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Finding the Fourth Proportional to 15,880.32, 21,911.58 and 9,164.34

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Solution

The fourth proportional to 15,880.32, 21,911.58 and 9,164.34 is: 12,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.32 : 21,911.58 = 9,164.34 : x
  2. Step 2: Convert to fraction form
    15,880.32/21,911.58 = 9,164.34/x
  3. Step 3: Cross multiply
    15,880.32x = 21,911.58 × 9,164.34
  4. Step 4: Simplify right side
    15,880.32x = 200,805,169.06
  5. Step 5: Solve for x
    x = 200,805,169.06/15,880.32
  6. Step 6: Final answer
    x = 12,644.91

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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.