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Finding the Fourth Proportional to 12,894.18, 19,321.65 and 5,870.22

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Solution

The fourth proportional to 12,894.18, 19,321.65 and 5,870.22 is: 8,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.18 : 19,321.65 = 5,870.22 : x
  2. Step 2: Convert to fraction form
    12,894.18/19,321.65 = 5,870.22/x
  3. Step 3: Cross multiply
    12,894.18x = 19,321.65 × 5,870.22
  4. Step 4: Simplify right side
    12,894.18x = 113,422,336.26
  5. Step 5: Solve for x
    x = 113,422,336.26/12,894.18
  6. Step 6: Final answer
    x = 8,796.40

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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.