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Finding the Fourth Proportional to 12,446.87, 17,200.15 and 9,815.18

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Solution

The fourth proportional to 12,446.87, 17,200.15 and 9,815.18 is: 13,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.87 : 17,200.15 = 9,815.18 : x
  2. Step 2: Convert to fraction form
    12,446.87/17,200.15 = 9,815.18/x
  3. Step 3: Cross multiply
    12,446.87x = 17,200.15 × 9,815.18
  4. Step 4: Simplify right side
    12,446.87x = 168,822,457.74
  5. Step 5: Solve for x
    x = 168,822,457.74/12,446.87
  6. Step 6: Final answer
    x = 13,563.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.