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Finding the Fourth Proportional to 16,696.58, 23,041.28 and 9,142.95

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Solution

The fourth proportional to 16,696.58, 23,041.28 and 9,142.95 is: 12,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.58 : 23,041.28 = 9,142.95 : x
  2. Step 2: Convert to fraction form
    16,696.58/23,041.28 = 9,142.95/x
  3. Step 3: Cross multiply
    16,696.58x = 23,041.28 × 9,142.95
  4. Step 4: Simplify right side
    16,696.58x = 210,665,225.26
  5. Step 5: Solve for x
    x = 210,665,225.26/16,696.58
  6. Step 6: Final answer
    x = 12,617.27

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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.