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Finding the Fourth Proportional to 14,032.37, 19,364.69 and 7,744.74

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Solution

The fourth proportional to 14,032.37, 19,364.69 and 7,744.74 is: 10,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.37 : 19,364.69 = 7,744.74 : x
  2. Step 2: Convert to fraction form
    14,032.37/19,364.69 = 7,744.74/x
  3. Step 3: Cross multiply
    14,032.37x = 19,364.69 × 7,744.74
  4. Step 4: Simplify right side
    14,032.37x = 149,974,450.51
  5. Step 5: Solve for x
    x = 149,974,450.51/14,032.37
  6. Step 6: Final answer
    x = 10,687.75

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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.