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Finding the Fourth Proportional to 23,048.91, 31,808.13 and 14,096.25

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Solution

The fourth proportional to 23,048.91, 31,808.13 and 14,096.25 is: 19,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.91 : 31,808.13 = 14,096.25 : x
  2. Step 2: Convert to fraction form
    23,048.91/31,808.13 = 14,096.25/x
  3. Step 3: Cross multiply
    23,048.91x = 31,808.13 × 14,096.25
  4. Step 4: Simplify right side
    23,048.91x = 448,375,352.51
  5. Step 5: Solve for x
    x = 448,375,352.51/23,048.91
  6. Step 6: Final answer
    x = 19,453.21

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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.