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Finding the Fourth Proportional to 15,005, 20,706.65 and 8,290.91

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Solution

The fourth proportional to 15,005, 20,706.65 and 8,290.91 is: 11,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005 : 20,706.65 = 8,290.91 : x
  2. Step 2: Convert to fraction form
    15,005/20,706.65 = 8,290.91/x
  3. Step 3: Cross multiply
    15,005x = 20,706.65 × 8,290.91
  4. Step 4: Simplify right side
    15,005x = 171,676,971.55
  5. Step 5: Solve for x
    x = 171,676,971.55/15,005
  6. Step 6: Final answer
    x = 11,441.32

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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.