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Finding the Fourth Proportional to 17,102.31, 23,601.58 and 10,729.16

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Solution

The fourth proportional to 17,102.31, 23,601.58 and 10,729.16 is: 14,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.31 : 23,601.58 = 10,729.16 : x
  2. Step 2: Convert to fraction form
    17,102.31/23,601.58 = 10,729.16/x
  3. Step 3: Cross multiply
    17,102.31x = 23,601.58 × 10,729.16
  4. Step 4: Simplify right side
    17,102.31x = 253,225,071.75
  5. Step 5: Solve for x
    x = 253,225,071.75/17,102.31
  6. Step 6: Final answer
    x = 14,806.49

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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.