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Finding the Fourth Proportional to 15,603.44, 23,414.40 and 8,208.47

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Solution

The fourth proportional to 15,603.44, 23,414.40 and 8,208.47 is: 12,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,603.44 : 23,414.40 = 8,208.47 : x
  2. Step 2: Convert to fraction form
    15,603.44/23,414.40 = 8,208.47/x
  3. Step 3: Cross multiply
    15,603.44x = 23,414.40 × 8,208.47
  4. Step 4: Simplify right side
    15,603.44x = 192,196,458.50
  5. Step 5: Solve for x
    x = 192,196,458.50/15,603.44
  6. Step 6: Final answer
    x = 12,317.57

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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.