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Finding the Fourth Proportional to 16,690.63, 23,033.09 and 10,403

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Solution

The fourth proportional to 16,690.63, 23,033.09 and 10,403 is: 14,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.63 : 23,033.09 = 10,403 : x
  2. Step 2: Convert to fraction form
    16,690.63/23,033.09 = 10,403/x
  3. Step 3: Cross multiply
    16,690.63x = 23,033.09 × 10,403
  4. Step 4: Simplify right side
    16,690.63x = 239,613,235.27
  5. Step 5: Solve for x
    x = 239,613,235.27/16,690.63
  6. Step 6: Final answer
    x = 14,356.15

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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.