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Finding the Fourth Proportional to 15,206.49, 22,809.20 and 4,114.89

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Solution

The fourth proportional to 15,206.49, 22,809.20 and 4,114.89 is: 6,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.49 : 22,809.20 = 4,114.89 : x
  2. Step 2: Convert to fraction form
    15,206.49/22,809.20 = 4,114.89/x
  3. Step 3: Cross multiply
    15,206.49x = 22,809.20 × 4,114.89
  4. Step 4: Simplify right side
    15,206.49x = 93,857,328.41
  5. Step 5: Solve for x
    x = 93,857,328.41/15,206.49
  6. Step 6: Final answer
    x = 6,172.19

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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.