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Finding the Fourth Proportional to 12,846.60, 19,284.30 and 9,937.80

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Solution

The fourth proportional to 12,846.60, 19,284.30 and 9,937.80 is: 14,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.60 : 19,284.30 = 9,937.80 : x
  2. Step 2: Convert to fraction form
    12,846.60/19,284.30 = 9,937.80/x
  3. Step 3: Cross multiply
    12,846.60x = 19,284.30 × 9,937.80
  4. Step 4: Simplify right side
    12,846.60x = 191,643,516.54
  5. Step 5: Solve for x
    x = 191,643,516.54/12,846.60
  6. Step 6: Final answer
    x = 14,917.84

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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.