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Finding the Fourth Proportional to 15,173, 22,763.34 and 4,229

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Solution

The fourth proportional to 15,173, 22,763.34 and 4,229 is: 6,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,173 : 22,763.34 = 4,229 : x
  2. Step 2: Convert to fraction form
    15,173/22,763.34 = 4,229/x
  3. Step 3: Cross multiply
    15,173x = 22,763.34 × 4,229
  4. Step 4: Simplify right side
    15,173x = 96,266,164.86
  5. Step 5: Solve for x
    x = 96,266,164.86/15,173
  6. Step 6: Final answer
    x = 6,344.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.