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Finding the Fourth Proportional to 23,807.66, 35,727.62 and 9,770.22

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Solution

The fourth proportional to 23,807.66, 35,727.62 and 9,770.22 is: 14,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.66 : 35,727.62 = 9,770.22 : x
  2. Step 2: Convert to fraction form
    23,807.66/35,727.62 = 9,770.22/x
  3. Step 3: Cross multiply
    23,807.66x = 35,727.62 × 9,770.22
  4. Step 4: Simplify right side
    23,807.66x = 349,066,707.48
  5. Step 5: Solve for x
    x = 349,066,707.48/23,807.66
  6. Step 6: Final answer
    x = 14,661.95

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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.