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Finding the Fourth Proportional to 23,842.26, 35,776.35 and 10,000.98

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Solution

The fourth proportional to 23,842.26, 35,776.35 and 10,000.98 is: 15,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.26 : 35,776.35 = 10,000.98 : x
  2. Step 2: Convert to fraction form
    23,842.26/35,776.35 = 10,000.98/x
  3. Step 3: Cross multiply
    23,842.26x = 35,776.35 × 10,000.98
  4. Step 4: Simplify right side
    23,842.26x = 357,798,560.82
  5. Step 5: Solve for x
    x = 357,798,560.82/23,842.26
  6. Step 6: Final answer
    x = 15,006.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.