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Finding the Fourth Proportional to 14,854.73, 22,284.59 and 5,494.77

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Solution

The fourth proportional to 14,854.73, 22,284.59 and 5,494.77 is: 8,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.73 : 22,284.59 = 5,494.77 : x
  2. Step 2: Convert to fraction form
    14,854.73/22,284.59 = 5,494.77/x
  3. Step 3: Cross multiply
    14,854.73x = 22,284.59 × 5,494.77
  4. Step 4: Simplify right side
    14,854.73x = 122,448,669.12
  5. Step 5: Solve for x
    x = 122,448,669.12/14,854.73
  6. Step 6: Final answer
    x = 8,243.08

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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.