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Finding the Fourth Proportional to 19,688.09, 29,535.93 and 6,364.67

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Solution

The fourth proportional to 19,688.09, 29,535.93 and 6,364.67 is: 9,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.09 : 29,535.93 = 6,364.67 : x
  2. Step 2: Convert to fraction form
    19,688.09/29,535.93 = 6,364.67/x
  3. Step 3: Cross multiply
    19,688.09x = 29,535.93 × 6,364.67
  4. Step 4: Simplify right side
    19,688.09x = 187,986,447.59
  5. Step 5: Solve for x
    x = 187,986,447.59/19,688.09
  6. Step 6: Final answer
    x = 9,548.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.