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Finding the Fourth Proportional to 35,280.24, 52,907.02 and 14,213.14

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Solution

The fourth proportional to 35,280.24, 52,907.02 and 14,213.14 is: 21,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,280.24 : 52,907.02 = 14,213.14 : x
  2. Step 2: Convert to fraction form
    35,280.24/52,907.02 = 14,213.14/x
  3. Step 3: Cross multiply
    35,280.24x = 52,907.02 × 14,213.14
  4. Step 4: Simplify right side
    35,280.24x = 751,974,882.24
  5. Step 5: Solve for x
    x = 751,974,882.24/35,280.24
  6. Step 6: Final answer
    x = 21,314.34

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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.