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Finding the Fourth Proportional to 22,692, 34,038.24 and 6,276

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Solution

The fourth proportional to 22,692, 34,038.24 and 6,276 is: 9,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692 : 34,038.24 = 6,276 : x
  2. Step 2: Convert to fraction form
    22,692/34,038.24 = 6,276/x
  3. Step 3: Cross multiply
    22,692x = 34,038.24 × 6,276
  4. Step 4: Simplify right side
    22,692x = 213,623,994.24
  5. Step 5: Solve for x
    x = 213,623,994.24/22,692
  6. Step 6: Final answer
    x = 9,414.07

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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.