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Finding the Fourth Proportional to 23,917.68, 35,881.98 and 7,280.07

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Solution

The fourth proportional to 23,917.68, 35,881.98 and 7,280.07 is: 10,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.68 : 35,881.98 = 7,280.07 : x
  2. Step 2: Convert to fraction form
    23,917.68/35,881.98 = 7,280.07/x
  3. Step 3: Cross multiply
    23,917.68x = 35,881.98 × 7,280.07
  4. Step 4: Simplify right side
    23,917.68x = 261,223,326.14
  5. Step 5: Solve for x
    x = 261,223,326.14/23,917.68
  6. Step 6: Final answer
    x = 10,921.77

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Why These Related Problems?

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