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Finding the Fourth Proportional to 13,022.32, 19,531.86 and 5,228.50

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Solution

The fourth proportional to 13,022.32, 19,531.86 and 5,228.50 is: 7,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.32 : 19,531.86 = 5,228.50 : x
  2. Step 2: Convert to fraction form
    13,022.32/19,531.86 = 5,228.50/x
  3. Step 3: Cross multiply
    13,022.32x = 19,531.86 × 5,228.50
  4. Step 4: Simplify right side
    13,022.32x = 102,122,330.01
  5. Step 5: Solve for x
    x = 102,122,330.01/13,022.32
  6. Step 6: Final answer
    x = 7,842.10

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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.