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Finding the Fourth Proportional to 17,702.19, 24,431.36 and 10,629.07

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Solution

The fourth proportional to 17,702.19, 24,431.36 and 10,629.07 is: 14,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.19 : 24,431.36 = 10,629.07 : x
  2. Step 2: Convert to fraction form
    17,702.19/24,431.36 = 10,629.07/x
  3. Step 3: Cross multiply
    17,702.19x = 24,431.36 × 10,629.07
  4. Step 4: Simplify right side
    17,702.19x = 259,682,521.41
  5. Step 5: Solve for x
    x = 259,682,521.41/17,702.19
  6. Step 6: Final answer
    x = 14,669.51

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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.