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Finding the Fourth Proportional to 12,854.24, 19,281.60 and 5,933.60

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Solution

The fourth proportional to 12,854.24, 19,281.60 and 5,933.60 is: 8,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.24 : 19,281.60 = 5,933.60 : x
  2. Step 2: Convert to fraction form
    12,854.24/19,281.60 = 5,933.60/x
  3. Step 3: Cross multiply
    12,854.24x = 19,281.60 × 5,933.60
  4. Step 4: Simplify right side
    12,854.24x = 114,409,301.76
  5. Step 5: Solve for x
    x = 114,409,301.76/12,854.24
  6. Step 6: Final answer
    x = 8,900.51

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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.