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Finding the Fourth Proportional to 12,161.48, 18,232.94 and 10,075.08

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Solution

The fourth proportional to 12,161.48, 18,232.94 and 10,075.08 is: 15,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.48 : 18,232.94 = 10,075.08 : x
  2. Step 2: Convert to fraction form
    12,161.48/18,232.94 = 10,075.08/x
  3. Step 3: Cross multiply
    12,161.48x = 18,232.94 × 10,075.08
  4. Step 4: Simplify right side
    12,161.48x = 183,698,329.14
  5. Step 5: Solve for x
    x = 183,698,329.14/12,161.48
  6. Step 6: Final answer
    x = 15,104.93

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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.