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Finding the Fourth Proportional to 14,854.83, 22,282.93 and 6,083.60

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Solution

The fourth proportional to 14,854.83, 22,282.93 and 6,083.60 is: 9,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.83 : 22,282.93 = 6,083.60 : x
  2. Step 2: Convert to fraction form
    14,854.83/22,282.93 = 6,083.60/x
  3. Step 3: Cross multiply
    14,854.83x = 22,282.93 × 6,083.60
  4. Step 4: Simplify right side
    14,854.83x = 135,560,321.53
  5. Step 5: Solve for x
    x = 135,560,321.53/14,854.83
  6. Step 6: Final answer
    x = 9,125.67

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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.