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Finding the Fourth Proportional to 12,576.13, 18,856.98 and 9,725.60

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Solution

The fourth proportional to 12,576.13, 18,856.98 and 9,725.60 is: 14,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.13 : 18,856.98 = 9,725.60 : x
  2. Step 2: Convert to fraction form
    12,576.13/18,856.98 = 9,725.60/x
  3. Step 3: Cross multiply
    12,576.13x = 18,856.98 × 9,725.60
  4. Step 4: Simplify right side
    12,576.13x = 183,395,491.83
  5. Step 5: Solve for x
    x = 183,395,491.83/12,576.13
  6. Step 6: Final answer
    x = 14,582.83

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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.