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Finding the Fourth Proportional to 16,716.64, 23,068.16 and 10,005.97

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Solution

The fourth proportional to 16,716.64, 23,068.16 and 10,005.97 is: 13,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.64 : 23,068.16 = 10,005.97 : x
  2. Step 2: Convert to fraction form
    16,716.64/23,068.16 = 10,005.97/x
  3. Step 3: Cross multiply
    16,716.64x = 23,068.16 × 10,005.97
  4. Step 4: Simplify right side
    16,716.64x = 230,819,266.89
  5. Step 5: Solve for x
    x = 230,819,266.89/16,716.64
  6. Step 6: Final answer
    x = 13,807.75

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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.