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Finding the Fourth Proportional to 15,464, 23,199.84 and 4,520

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Solution

The fourth proportional to 15,464, 23,199.84 and 4,520 is: 6,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464 : 23,199.84 = 4,520 : x
  2. Step 2: Convert to fraction form
    15,464/23,199.84 = 4,520/x
  3. Step 3: Cross multiply
    15,464x = 23,199.84 × 4,520
  4. Step 4: Simplify right side
    15,464x = 104,863,276.80
  5. Step 5: Solve for x
    x = 104,863,276.80/15,464
  6. Step 6: Final answer
    x = 6,781.12

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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.