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Finding the Fourth Proportional to 12,521.49, 18,769.88 and 6,977.45

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Solution

The fourth proportional to 12,521.49, 18,769.88 and 6,977.45 is: 10,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.49 : 18,769.88 = 6,977.45 : x
  2. Step 2: Convert to fraction form
    12,521.49/18,769.88 = 6,977.45/x
  3. Step 3: Cross multiply
    12,521.49x = 18,769.88 × 6,977.45
  4. Step 4: Simplify right side
    12,521.49x = 130,965,899.21
  5. Step 5: Solve for x
    x = 130,965,899.21/12,521.49
  6. Step 6: Final answer
    x = 10,459.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.