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Finding the Fourth Proportional to 13,046.72, 19,511.04 and 8,355.20

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Solution

The fourth proportional to 13,046.72, 19,511.04 and 8,355.20 is: 12,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.72 : 19,511.04 = 8,355.20 : x
  2. Step 2: Convert to fraction form
    13,046.72/19,511.04 = 8,355.20/x
  3. Step 3: Cross multiply
    13,046.72x = 19,511.04 × 8,355.20
  4. Step 4: Simplify right side
    13,046.72x = 163,018,641.41
  5. Step 5: Solve for x
    x = 163,018,641.41/13,046.72
  6. Step 6: Final answer
    x = 12,494.99

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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.