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Finding the Fourth Proportional to 23,509.84, 35,270.04 and 7,927

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Solution

The fourth proportional to 23,509.84, 35,270.04 and 7,927 is: 11,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.84 : 35,270.04 = 7,927 : x
  2. Step 2: Convert to fraction form
    23,509.84/35,270.04 = 7,927/x
  3. Step 3: Cross multiply
    23,509.84x = 35,270.04 × 7,927
  4. Step 4: Simplify right side
    23,509.84x = 279,585,607.08
  5. Step 5: Solve for x
    x = 279,585,607.08/23,509.84
  6. Step 6: Final answer
    x = 11,892.28

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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.