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Finding the Fourth Proportional to 10,755.74, 16,075.94 and 9,699.14

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Solution

The fourth proportional to 10,755.74, 16,075.94 and 9,699.14 is: 14,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.74 : 16,075.94 = 9,699.14 : x
  2. Step 2: Convert to fraction form
    10,755.74/16,075.94 = 9,699.14/x
  3. Step 3: Cross multiply
    10,755.74x = 16,075.94 × 9,699.14
  4. Step 4: Simplify right side
    10,755.74x = 155,922,866.22
  5. Step 5: Solve for x
    x = 155,922,866.22/10,755.74
  6. Step 6: Final answer
    x = 14,496.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.