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Finding the Fourth Proportional to 14,005.19, 19,327.14 and 7,717.57

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Solution

The fourth proportional to 14,005.19, 19,327.14 and 7,717.57 is: 10,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.19 : 19,327.14 = 7,717.57 : x
  2. Step 2: Convert to fraction form
    14,005.19/19,327.14 = 7,717.57/x
  3. Step 3: Cross multiply
    14,005.19x = 19,327.14 × 7,717.57
  4. Step 4: Simplify right side
    14,005.19x = 149,158,507.53
  5. Step 5: Solve for x
    x = 149,158,507.53/14,005.19
  6. Step 6: Final answer
    x = 10,650.23

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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.