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Finding the Fourth Proportional to 12,468.33, 18,710.46 and 5,894.91

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Solution

The fourth proportional to 12,468.33, 18,710.46 and 5,894.91 is: 8,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.33 : 18,710.46 = 5,894.91 : x
  2. Step 2: Convert to fraction form
    12,468.33/18,710.46 = 5,894.91/x
  3. Step 3: Cross multiply
    12,468.33x = 18,710.46 × 5,894.91
  4. Step 4: Simplify right side
    12,468.33x = 110,296,477.76
  5. Step 5: Solve for x
    x = 110,296,477.76/12,468.33
  6. Step 6: Final answer
    x = 8,846.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.