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Finding the Fourth Proportional to 14,117.63, 19,482.10 and 7,744.37

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Solution

The fourth proportional to 14,117.63, 19,482.10 and 7,744.37 is: 10,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.63 : 19,482.10 = 7,744.37 : x
  2. Step 2: Convert to fraction form
    14,117.63/19,482.10 = 7,744.37/x
  3. Step 3: Cross multiply
    14,117.63x = 19,482.10 × 7,744.37
  4. Step 4: Simplify right side
    14,117.63x = 150,876,474.01
  5. Step 5: Solve for x
    x = 150,876,474.01/14,117.63
  6. Step 6: Final answer
    x = 10,687.10

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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.