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Finding the Fourth Proportional to 23,752.36, 35,627.80 and 9,901

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Solution

The fourth proportional to 23,752.36, 35,627.80 and 9,901 is: 14,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.36 : 35,627.80 = 9,901 : x
  2. Step 2: Convert to fraction form
    23,752.36/35,627.80 = 9,901/x
  3. Step 3: Cross multiply
    23,752.36x = 35,627.80 × 9,901
  4. Step 4: Simplify right side
    23,752.36x = 352,750,847.80
  5. Step 5: Solve for x
    x = 352,750,847.80/23,752.36
  6. Step 6: Final answer
    x = 14,851.19

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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.