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Finding the Fourth Proportional to 12,894.53, 19,342.15 and 6,229.98

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Solution

The fourth proportional to 12,894.53, 19,342.15 and 6,229.98 is: 9,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.53 : 19,342.15 = 6,229.98 : x
  2. Step 2: Convert to fraction form
    12,894.53/19,342.15 = 6,229.98/x
  3. Step 3: Cross multiply
    12,894.53x = 19,342.15 × 6,229.98
  4. Step 4: Simplify right side
    12,894.53x = 120,501,192.08
  5. Step 5: Solve for x
    x = 120,501,192.08/12,894.53
  6. Step 6: Final answer
    x = 9,345.14

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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.