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Finding the Fourth Proportional to 14,490.96, 21,746.16 and 5,131

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Solution

The fourth proportional to 14,490.96, 21,746.16 and 5,131 is: 7,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.96 : 21,746.16 = 5,131 : x
  2. Step 2: Convert to fraction form
    14,490.96/21,746.16 = 5,131/x
  3. Step 3: Cross multiply
    14,490.96x = 21,746.16 × 5,131
  4. Step 4: Simplify right side
    14,490.96x = 111,579,546.96
  5. Step 5: Solve for x
    x = 111,579,546.96/14,490.96
  6. Step 6: Final answer
    x = 7,699.94

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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.