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Finding the Fourth Proportional to 14,307.21, 21,433.13 and 8,048.20

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Solution

The fourth proportional to 14,307.21, 21,433.13 and 8,048.20 is: 12,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.21 : 21,433.13 = 8,048.20 : x
  2. Step 2: Convert to fraction form
    14,307.21/21,433.13 = 8,048.20/x
  3. Step 3: Cross multiply
    14,307.21x = 21,433.13 × 8,048.20
  4. Step 4: Simplify right side
    14,307.21x = 172,498,116.87
  5. Step 5: Solve for x
    x = 172,498,116.87/14,307.21
  6. Step 6: Final answer
    x = 12,056.73

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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.