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Finding the Fourth Proportional to 14,075.37, 19,423.80 and 8,107.09

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Solution

The fourth proportional to 14,075.37, 19,423.80 and 8,107.09 is: 11,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.37 : 19,423.80 = 8,107.09 : x
  2. Step 2: Convert to fraction form
    14,075.37/19,423.80 = 8,107.09/x
  3. Step 3: Cross multiply
    14,075.37x = 19,423.80 × 8,107.09
  4. Step 4: Simplify right side
    14,075.37x = 157,470,446.18
  5. Step 5: Solve for x
    x = 157,470,446.18/14,075.37
  6. Step 6: Final answer
    x = 11,187.66

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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.