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Finding the Fourth Proportional to 15,982.74, 22,055.94 and 8,908.98

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Solution

The fourth proportional to 15,982.74, 22,055.94 and 8,908.98 is: 12,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.74 : 22,055.94 = 8,908.98 : x
  2. Step 2: Convert to fraction form
    15,982.74/22,055.94 = 8,908.98/x
  3. Step 3: Cross multiply
    15,982.74x = 22,055.94 × 8,908.98
  4. Step 4: Simplify right side
    15,982.74x = 196,495,928.34
  5. Step 5: Solve for x
    x = 196,495,928.34/15,982.74
  6. Step 6: Final answer
    x = 12,294.26

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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.