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Finding the Fourth Proportional to 16,405.94, 22,637.52 and 9,690.63

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Solution

The fourth proportional to 16,405.94, 22,637.52 and 9,690.63 is: 13,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.94 : 22,637.52 = 9,690.63 : x
  2. Step 2: Convert to fraction form
    16,405.94/22,637.52 = 9,690.63/x
  3. Step 3: Cross multiply
    16,405.94x = 22,637.52 × 9,690.63
  4. Step 4: Simplify right side
    16,405.94x = 219,371,830.44
  5. Step 5: Solve for x
    x = 219,371,830.44/16,405.94
  6. Step 6: Final answer
    x = 13,371.49

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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.