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Finding the Fourth Proportional to 15,466, 23,202.84 and 4,522

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Solution

The fourth proportional to 15,466, 23,202.84 and 4,522 is: 6,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466 : 23,202.84 = 4,522 : x
  2. Step 2: Convert to fraction form
    15,466/23,202.84 = 4,522/x
  3. Step 3: Cross multiply
    15,466x = 23,202.84 × 4,522
  4. Step 4: Simplify right side
    15,466x = 104,923,242.48
  5. Step 5: Solve for x
    x = 104,923,242.48/15,466
  6. Step 6: Final answer
    x = 6,784.12

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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.