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Finding the Fourth Proportional to 14,833.14, 22,255.29 and 7,712.94

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Solution

The fourth proportional to 14,833.14, 22,255.29 and 7,712.94 is: 11,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.14 : 22,255.29 = 7,712.94 : x
  2. Step 2: Convert to fraction form
    14,833.14/22,255.29 = 7,712.94/x
  3. Step 3: Cross multiply
    14,833.14x = 22,255.29 × 7,712.94
  4. Step 4: Simplify right side
    14,833.14x = 171,653,716.45
  5. Step 5: Solve for x
    x = 171,653,716.45/14,833.14
  6. Step 6: Final answer
    x = 11,572.31

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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.