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Finding the Fourth Proportional to 16,953.66, 23,383.59 and 11,648.70

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Solution

The fourth proportional to 16,953.66, 23,383.59 and 11,648.70 is: 16,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.66 : 23,383.59 = 11,648.70 : x
  2. Step 2: Convert to fraction form
    16,953.66/23,383.59 = 11,648.70/x
  3. Step 3: Cross multiply
    16,953.66x = 23,383.59 × 11,648.70
  4. Step 4: Simplify right side
    16,953.66x = 272,388,424.83
  5. Step 5: Solve for x
    x = 272,388,424.83/16,953.66
  6. Step 6: Final answer
    x = 16,066.64

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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.