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Finding the Fourth Proportional to 14,117.81, 19,482.44 and 7,744.27

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Solution

The fourth proportional to 14,117.81, 19,482.44 and 7,744.27 is: 10,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.81 : 19,482.44 = 7,744.27 : x
  2. Step 2: Convert to fraction form
    14,117.81/19,482.44 = 7,744.27/x
  3. Step 3: Cross multiply
    14,117.81x = 19,482.44 × 7,744.27
  4. Step 4: Simplify right side
    14,117.81x = 150,877,275.62
  5. Step 5: Solve for x
    x = 150,877,275.62/14,117.81
  6. Step 6: Final answer
    x = 10,687.02

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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.