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Finding the Fourth Proportional to 12,477.70, 17,205.24 and 8,501.14

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Solution

The fourth proportional to 12,477.70, 17,205.24 and 8,501.14 is: 11,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.70 : 17,205.24 = 8,501.14 : x
  2. Step 2: Convert to fraction form
    12,477.70/17,205.24 = 8,501.14/x
  3. Step 3: Cross multiply
    12,477.70x = 17,205.24 × 8,501.14
  4. Step 4: Simplify right side
    12,477.70x = 146,264,153.97
  5. Step 5: Solve for x
    x = 146,264,153.97/12,477.70
  6. Step 6: Final answer
    x = 11,722.04

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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.