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Finding the Fourth Proportional to 14,764.30, 22,114.05 and 12,820.30

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Solution

The fourth proportional to 14,764.30, 22,114.05 and 12,820.30 is: 19,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.30 : 22,114.05 = 12,820.30 : x
  2. Step 2: Convert to fraction form
    14,764.30/22,114.05 = 12,820.30/x
  3. Step 3: Cross multiply
    14,764.30x = 22,114.05 × 12,820.30
  4. Step 4: Simplify right side
    14,764.30x = 283,508,755.22
  5. Step 5: Solve for x
    x = 283,508,755.22/14,764.30
  6. Step 6: Final answer
    x = 19,202.32

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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.