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Finding the Fourth Proportional to 12,990.13, 19,457 and 7,977.29

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Solution

The fourth proportional to 12,990.13, 19,457 and 7,977.29 is: 11,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.13 : 19,457 = 7,977.29 : x
  2. Step 2: Convert to fraction form
    12,990.13/19,457 = 7,977.29/x
  3. Step 3: Cross multiply
    12,990.13x = 19,457 × 7,977.29
  4. Step 4: Simplify right side
    12,990.13x = 155,214,131.53
  5. Step 5: Solve for x
    x = 155,214,131.53/12,990.13
  6. Step 6: Final answer
    x = 11,948.62

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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.