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Finding the Fourth Proportional to 16,526.36, 24,797.28 and 7,760

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Solution

The fourth proportional to 16,526.36, 24,797.28 and 7,760 is: 11,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.36 : 24,797.28 = 7,760 : x
  2. Step 2: Convert to fraction form
    16,526.36/24,797.28 = 7,760/x
  3. Step 3: Cross multiply
    16,526.36x = 24,797.28 × 7,760
  4. Step 4: Simplify right side
    16,526.36x = 192,426,892.80
  5. Step 5: Solve for x
    x = 192,426,892.80/16,526.36
  6. Step 6: Final answer
    x = 11,643.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.