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Finding the Fourth Proportional to 22,942.40, 34,409.50 and 6,075.53

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Solution

The fourth proportional to 22,942.40, 34,409.50 and 6,075.53 is: 9,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.40 : 34,409.50 = 6,075.53 : x
  2. Step 2: Convert to fraction form
    22,942.40/34,409.50 = 6,075.53/x
  3. Step 3: Cross multiply
    22,942.40x = 34,409.50 × 6,075.53
  4. Step 4: Simplify right side
    22,942.40x = 209,055,762.30
  5. Step 5: Solve for x
    x = 209,055,762.30/22,942.40
  6. Step 6: Final answer
    x = 9,112.20

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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.