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Finding the Fourth Proportional to 13,907.09, 20,851.39 and 9,752.12

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Solution

The fourth proportional to 13,907.09, 20,851.39 and 9,752.12 is: 14,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.09 : 20,851.39 = 9,752.12 : x
  2. Step 2: Convert to fraction form
    13,907.09/20,851.39 = 9,752.12/x
  3. Step 3: Cross multiply
    13,907.09x = 20,851.39 × 9,752.12
  4. Step 4: Simplify right side
    13,907.09x = 203,345,257.45
  5. Step 5: Solve for x
    x = 203,345,257.45/13,907.09
  6. Step 6: Final answer
    x = 14,621.70

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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.