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Finding the Fourth Proportional to 12,297.02, 16,967.34 and 7,819.16

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Solution

The fourth proportional to 12,297.02, 16,967.34 and 7,819.16 is: 10,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.02 : 16,967.34 = 7,819.16 : x
  2. Step 2: Convert to fraction form
    12,297.02/16,967.34 = 7,819.16/x
  3. Step 3: Cross multiply
    12,297.02x = 16,967.34 × 7,819.16
  4. Step 4: Simplify right side
    12,297.02x = 132,670,261.40
  5. Step 5: Solve for x
    x = 132,670,261.40/12,297.02
  6. Step 6: Final answer
    x = 10,788.82

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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.