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Finding the Fourth Proportional to 13,866.12, 20,802.45 and 4,506.15

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Solution

The fourth proportional to 13,866.12, 20,802.45 and 4,506.15 is: 6,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.12 : 20,802.45 = 4,506.15 : x
  2. Step 2: Convert to fraction form
    13,866.12/20,802.45 = 4,506.15/x
  3. Step 3: Cross multiply
    13,866.12x = 20,802.45 × 4,506.15
  4. Step 4: Simplify right side
    13,866.12x = 93,738,960.07
  5. Step 5: Solve for x
    x = 93,738,960.07/13,866.12
  6. Step 6: Final answer
    x = 6,760.29

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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.