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Finding the Fourth Proportional to 14,176.41, 19,567.74 and 8,209.54

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Solution

The fourth proportional to 14,176.41, 19,567.74 and 8,209.54 is: 11,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.41 : 19,567.74 = 8,209.54 : x
  2. Step 2: Convert to fraction form
    14,176.41/19,567.74 = 8,209.54/x
  3. Step 3: Cross multiply
    14,176.41x = 19,567.74 × 8,209.54
  4. Step 4: Simplify right side
    14,176.41x = 160,642,144.24
  5. Step 5: Solve for x
    x = 160,642,144.24/14,176.41
  6. Step 6: Final answer
    x = 11,331.65

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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.