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Finding the Fourth Proportional to 14,686.90, 22,014.15 and 8,117.80

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Solution

The fourth proportional to 14,686.90, 22,014.15 and 8,117.80 is: 12,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.90 : 22,014.15 = 8,117.80 : x
  2. Step 2: Convert to fraction form
    14,686.90/22,014.15 = 8,117.80/x
  3. Step 3: Cross multiply
    14,686.90x = 22,014.15 × 8,117.80
  4. Step 4: Simplify right side
    14,686.90x = 178,706,466.87
  5. Step 5: Solve for x
    x = 178,706,466.87/14,686.90
  6. Step 6: Final answer
    x = 12,167.75

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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.