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Finding the Fourth Proportional to 23,153.52, 34,727.60 and 9,828.52

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Solution

The fourth proportional to 23,153.52, 34,727.60 and 9,828.52 is: 14,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.52 : 34,727.60 = 9,828.52 : x
  2. Step 2: Convert to fraction form
    23,153.52/34,727.60 = 9,828.52/x
  3. Step 3: Cross multiply
    23,153.52x = 34,727.60 × 9,828.52
  4. Step 4: Simplify right side
    23,153.52x = 341,320,911.15
  5. Step 5: Solve for x
    x = 341,320,911.15/23,153.52
  6. Step 6: Final answer
    x = 14,741.64

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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.