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Finding the Fourth Proportional to 15,991.50, 22,068.27 and 8,918.40

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Solution

The fourth proportional to 15,991.50, 22,068.27 and 8,918.40 is: 12,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.50 : 22,068.27 = 8,918.40 : x
  2. Step 2: Convert to fraction form
    15,991.50/22,068.27 = 8,918.40/x
  3. Step 3: Cross multiply
    15,991.50x = 22,068.27 × 8,918.40
  4. Step 4: Simplify right side
    15,991.50x = 196,813,659.17
  5. Step 5: Solve for x
    x = 196,813,659.17/15,991.50
  6. Step 6: Final answer
    x = 12,307.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.