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Finding the Fourth Proportional to 15,102.84, 20,838.55 and 9,134.38

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Solution

The fourth proportional to 15,102.84, 20,838.55 and 9,134.38 is: 12,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.84 : 20,838.55 = 9,134.38 : x
  2. Step 2: Convert to fraction form
    15,102.84/20,838.55 = 9,134.38/x
  3. Step 3: Cross multiply
    15,102.84x = 20,838.55 × 9,134.38
  4. Step 4: Simplify right side
    15,102.84x = 190,347,234.35
  5. Step 5: Solve for x
    x = 190,347,234.35/15,102.84
  6. Step 6: Final answer
    x = 12,603.41

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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.