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Finding the Fourth Proportional to 23,263.46, 32,111.93 and 13,832

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Solution

The fourth proportional to 23,263.46, 32,111.93 and 13,832 is: 19,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263.46 : 32,111.93 = 13,832 : x
  2. Step 2: Convert to fraction form
    23,263.46/32,111.93 = 13,832/x
  3. Step 3: Cross multiply
    23,263.46x = 32,111.93 × 13,832
  4. Step 4: Simplify right side
    23,263.46x = 444,172,146.60
  5. Step 5: Solve for x
    x = 444,172,146.60/23,263.46
  6. Step 6: Final answer
    x = 19,093.12

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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.