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Finding the Fourth Proportional to 23,809.71, 35,716.01 and 9,954.03

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Solution

The fourth proportional to 23,809.71, 35,716.01 and 9,954.03 is: 14,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.71 : 35,716.01 = 9,954.03 : x
  2. Step 2: Convert to fraction form
    23,809.71/35,716.01 = 9,954.03/x
  3. Step 3: Cross multiply
    23,809.71x = 35,716.01 × 9,954.03
  4. Step 4: Simplify right side
    23,809.71x = 355,518,185.25
  5. Step 5: Solve for x
    x = 355,518,185.25/23,809.71
  6. Step 6: Final answer
    x = 14,931.65

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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.