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Finding the Fourth Proportional to 23,254, 34,881.04 and 9,403.04

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Solution

The fourth proportional to 23,254, 34,881.04 and 9,403.04 is: 14,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254 : 34,881.04 = 9,403.04 : x
  2. Step 2: Convert to fraction form
    23,254/34,881.04 = 9,403.04/x
  3. Step 3: Cross multiply
    23,254x = 34,881.04 × 9,403.04
  4. Step 4: Simplify right side
    23,254x = 327,987,814.36
  5. Step 5: Solve for x
    x = 327,987,814.36/23,254
  6. Step 6: Final answer
    x = 14,104.58

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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.