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Finding the Fourth Proportional to 23,051.92, 31,812.28 and 14,099.26

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Solution

The fourth proportional to 23,051.92, 31,812.28 and 14,099.26 is: 19,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.92 : 31,812.28 = 14,099.26 : x
  2. Step 2: Convert to fraction form
    23,051.92/31,812.28 = 14,099.26/x
  3. Step 3: Cross multiply
    23,051.92x = 31,812.28 × 14,099.26
  4. Step 4: Simplify right side
    23,051.92x = 448,529,606.91
  5. Step 5: Solve for x
    x = 448,529,606.91/23,051.92
  6. Step 6: Final answer
    x = 19,457.36

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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.