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Finding the Fourth Proportional to 23,681.28, 35,509.71 and 7,880.61

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Solution

The fourth proportional to 23,681.28, 35,509.71 and 7,880.61 is: 11,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.28 : 35,509.71 = 7,880.61 : x
  2. Step 2: Convert to fraction form
    23,681.28/35,509.71 = 7,880.61/x
  3. Step 3: Cross multiply
    23,681.28x = 35,509.71 × 7,880.61
  4. Step 4: Simplify right side
    23,681.28x = 279,838,175.72
  5. Step 5: Solve for x
    x = 279,838,175.72/23,681.28
  6. Step 6: Final answer
    x = 11,816.85

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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.