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Finding the Fourth Proportional to 12,297.80, 16,966.14 and 7,573.88

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Solution

The fourth proportional to 12,297.80, 16,966.14 and 7,573.88 is: 10,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.80 : 16,966.14 = 7,573.88 : x
  2. Step 2: Convert to fraction form
    12,297.80/16,966.14 = 7,573.88/x
  3. Step 3: Cross multiply
    12,297.80x = 16,966.14 × 7,573.88
  4. Step 4: Simplify right side
    12,297.80x = 128,499,508.42
  5. Step 5: Solve for x
    x = 128,499,508.42/12,297.80
  6. Step 6: Final answer
    x = 10,448.98

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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.