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Finding the Fourth Proportional to 12,202.65, 16,837.47 and 10,522.31

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Solution

The fourth proportional to 12,202.65, 16,837.47 and 10,522.31 is: 14,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.65 : 16,837.47 = 10,522.31 : x
  2. Step 2: Convert to fraction form
    12,202.65/16,837.47 = 10,522.31/x
  3. Step 3: Cross multiply
    12,202.65x = 16,837.47 × 10,522.31
  4. Step 4: Simplify right side
    12,202.65x = 177,168,994.77
  5. Step 5: Solve for x
    x = 177,168,994.77/12,202.65
  6. Step 6: Final answer
    x = 14,518.90

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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.