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Finding the Fourth Proportional to 16,702.39, 23,038.22 and 10,741.60

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Solution

The fourth proportional to 16,702.39, 23,038.22 and 10,741.60 is: 14,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.39 : 23,038.22 = 10,741.60 : x
  2. Step 2: Convert to fraction form
    16,702.39/23,038.22 = 10,741.60/x
  3. Step 3: Cross multiply
    16,702.39x = 23,038.22 × 10,741.60
  4. Step 4: Simplify right side
    16,702.39x = 247,467,343.95
  5. Step 5: Solve for x
    x = 247,467,343.95/16,702.39
  6. Step 6: Final answer
    x = 14,816.28

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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.