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Finding the Fourth Proportional to 14,903.80, 20,567.32 and 8,189.57

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Solution

The fourth proportional to 14,903.80, 20,567.32 and 8,189.57 is: 11,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.80 : 20,567.32 = 8,189.57 : x
  2. Step 2: Convert to fraction form
    14,903.80/20,567.32 = 8,189.57/x
  3. Step 3: Cross multiply
    14,903.80x = 20,567.32 × 8,189.57
  4. Step 4: Simplify right side
    14,903.80x = 168,437,537.80
  5. Step 5: Solve for x
    x = 168,437,537.80/14,903.80
  6. Step 6: Final answer
    x = 11,301.65

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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.