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Finding the Fourth Proportional to 10,657.98, 16,003.37 and 9,498.87

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Solution

The fourth proportional to 10,657.98, 16,003.37 and 9,498.87 is: 14,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.98 : 16,003.37 = 9,498.87 : x
  2. Step 2: Convert to fraction form
    10,657.98/16,003.37 = 9,498.87/x
  3. Step 3: Cross multiply
    10,657.98x = 16,003.37 × 9,498.87
  4. Step 4: Simplify right side
    10,657.98x = 152,013,954.94
  5. Step 5: Solve for x
    x = 152,013,954.94/10,657.98
  6. Step 6: Final answer
    x = 14,262.92

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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.