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Finding the Fourth Proportional to 16,729.68, 23,089.02 and 9,656.10

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Solution

The fourth proportional to 16,729.68, 23,089.02 and 9,656.10 is: 13,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.68 : 23,089.02 = 9,656.10 : x
  2. Step 2: Convert to fraction form
    16,729.68/23,089.02 = 9,656.10/x
  3. Step 3: Cross multiply
    16,729.68x = 23,089.02 × 9,656.10
  4. Step 4: Simplify right side
    16,729.68x = 222,949,849.81
  5. Step 5: Solve for x
    x = 222,949,849.81/16,729.68
  6. Step 6: Final answer
    x = 13,326.60

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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.