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Finding the Fourth Proportional to 13,045.92, 19,568.86 and 9,281.84

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Solution

The fourth proportional to 13,045.92, 19,568.86 and 9,281.84 is: 13,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.92 : 19,568.86 = 9,281.84 : x
  2. Step 2: Convert to fraction form
    13,045.92/19,568.86 = 9,281.84/x
  3. Step 3: Cross multiply
    13,045.92x = 19,568.86 × 9,281.84
  4. Step 4: Simplify right side
    13,045.92x = 181,635,027.50
  5. Step 5: Solve for x
    x = 181,635,027.50/13,045.92
  6. Step 6: Final answer
    x = 13,922.75

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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.