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Finding the Fourth Proportional to 12,137.72, 18,219.90 and 10,297.40

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Solution

The fourth proportional to 12,137.72, 18,219.90 and 10,297.40 is: 15,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.72 : 18,219.90 = 10,297.40 : x
  2. Step 2: Convert to fraction form
    12,137.72/18,219.90 = 10,297.40/x
  3. Step 3: Cross multiply
    12,137.72x = 18,219.90 × 10,297.40
  4. Step 4: Simplify right side
    12,137.72x = 187,617,598.26
  5. Step 5: Solve for x
    x = 187,617,598.26/12,137.72
  6. Step 6: Final answer
    x = 15,457.40

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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.