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Finding the Fourth Proportional to 14,903.84, 20,567.33 and 8,189.48

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Solution

The fourth proportional to 14,903.84, 20,567.33 and 8,189.48 is: 11,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.84 : 20,567.33 = 8,189.48 : x
  2. Step 2: Convert to fraction form
    14,903.84/20,567.33 = 8,189.48/x
  3. Step 3: Cross multiply
    14,903.84x = 20,567.33 × 8,189.48
  4. Step 4: Simplify right side
    14,903.84x = 168,435,737.69
  5. Step 5: Solve for x
    x = 168,435,737.69/14,903.84
  6. Step 6: Final answer
    x = 11,301.50

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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.