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Finding the Fourth Proportional to 23,054.92, 31,816.42 and 14,102.26

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Solution

The fourth proportional to 23,054.92, 31,816.42 and 14,102.26 is: 19,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.92 : 31,816.42 = 14,102.26 : x
  2. Step 2: Convert to fraction form
    23,054.92/31,816.42 = 14,102.26/x
  3. Step 3: Cross multiply
    23,054.92x = 31,816.42 × 14,102.26
  4. Step 4: Simplify right side
    23,054.92x = 448,683,427.11
  5. Step 5: Solve for x
    x = 448,683,427.11/23,054.92
  6. Step 6: Final answer
    x = 19,461.50

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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.