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Finding the Fourth Proportional to 23,864.61, 35,809.20 and 9,835.01

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Solution

The fourth proportional to 23,864.61, 35,809.20 and 9,835.01 is: 14,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.61 : 35,809.20 = 9,835.01 : x
  2. Step 2: Convert to fraction form
    23,864.61/35,809.20 = 9,835.01/x
  3. Step 3: Cross multiply
    23,864.61x = 35,809.20 × 9,835.01
  4. Step 4: Simplify right side
    23,864.61x = 352,183,661.05
  5. Step 5: Solve for x
    x = 352,183,661.05/23,864.61
  6. Step 6: Final answer
    x = 14,757.57

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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.