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Finding the Fourth Proportional to 15,064, 20,788.32 and 9,176

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Solution

The fourth proportional to 15,064, 20,788.32 and 9,176 is: 12,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,064 : 20,788.32 = 9,176 : x
  2. Step 2: Convert to fraction form
    15,064/20,788.32 = 9,176/x
  3. Step 3: Cross multiply
    15,064x = 20,788.32 × 9,176
  4. Step 4: Simplify right side
    15,064x = 190,753,624.32
  5. Step 5: Solve for x
    x = 190,753,624.32/15,064
  6. Step 6: Final answer
    x = 12,662.88

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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.