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Finding the Fourth Proportional to 14,905.23, 20,567.88 and 8,190.78

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Solution

The fourth proportional to 14,905.23, 20,567.88 and 8,190.78 is: 11,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.23 : 20,567.88 = 8,190.78 : x
  2. Step 2: Convert to fraction form
    14,905.23/20,567.88 = 8,190.78/x
  3. Step 3: Cross multiply
    14,905.23x = 20,567.88 × 8,190.78
  4. Step 4: Simplify right side
    14,905.23x = 168,466,980.15
  5. Step 5: Solve for x
    x = 168,466,980.15/14,905.23
  6. Step 6: Final answer
    x = 11,302.54

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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.