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Finding the Fourth Proportional to 15,603.68, 23,400.66 and 5,213

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Solution

The fourth proportional to 15,603.68, 23,400.66 and 5,213 is: 7,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,603.68 : 23,400.66 = 5,213 : x
  2. Step 2: Convert to fraction form
    15,603.68/23,400.66 = 5,213/x
  3. Step 3: Cross multiply
    15,603.68x = 23,400.66 × 5,213
  4. Step 4: Simplify right side
    15,603.68x = 121,987,640.58
  5. Step 5: Solve for x
    x = 121,987,640.58/15,603.68
  6. Step 6: Final answer
    x = 7,817.88

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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.