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Finding the Fourth Proportional to 23,404.08, 35,083.98 and 7,810.50

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Solution

The fourth proportional to 23,404.08, 35,083.98 and 7,810.50 is: 11,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.08 : 35,083.98 = 7,810.50 : x
  2. Step 2: Convert to fraction form
    23,404.08/35,083.98 = 7,810.50/x
  3. Step 3: Cross multiply
    23,404.08x = 35,083.98 × 7,810.50
  4. Step 4: Simplify right side
    23,404.08x = 274,023,425.79
  5. Step 5: Solve for x
    x = 274,023,425.79/23,404.08
  6. Step 6: Final answer
    x = 11,708.36

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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.