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Finding the Fourth Proportional to 13,215.60, 19,823.40 and 12,340.80

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Solution

The fourth proportional to 13,215.60, 19,823.40 and 12,340.80 is: 18,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.60 : 19,823.40 = 12,340.80 : x
  2. Step 2: Convert to fraction form
    13,215.60/19,823.40 = 12,340.80/x
  3. Step 3: Cross multiply
    13,215.60x = 19,823.40 × 12,340.80
  4. Step 4: Simplify right side
    13,215.60x = 244,636,614.72
  5. Step 5: Solve for x
    x = 244,636,614.72/13,215.60
  6. Step 6: Final answer
    x = 18,511.20

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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.