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Finding the Fourth Proportional to 16,526.82, 22,796.63 and 9,807.69

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Solution

The fourth proportional to 16,526.82, 22,796.63 and 9,807.69 is: 13,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.82 : 22,796.63 = 9,807.69 : x
  2. Step 2: Convert to fraction form
    16,526.82/22,796.63 = 9,807.69/x
  3. Step 3: Cross multiply
    16,526.82x = 22,796.63 × 9,807.69
  4. Step 4: Simplify right side
    16,526.82x = 223,582,231.05
  5. Step 5: Solve for x
    x = 223,582,231.05/16,526.82
  6. Step 6: Final answer
    x = 13,528.45

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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.