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Finding the Fourth Proportional to 14,024.25, 19,353.83 and 7,650.95

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Solution

The fourth proportional to 14,024.25, 19,353.83 and 7,650.95 is: 10,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.25 : 19,353.83 = 7,650.95 : x
  2. Step 2: Convert to fraction form
    14,024.25/19,353.83 = 7,650.95/x
  3. Step 3: Cross multiply
    14,024.25x = 19,353.83 × 7,650.95
  4. Step 4: Simplify right side
    14,024.25x = 148,075,093.65
  5. Step 5: Solve for x
    x = 148,075,093.65/14,024.25
  6. Step 6: Final answer
    x = 10,558.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.