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Finding the Fourth Proportional to 14,309.06, 19,745.64 and 8,021.30

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Solution

The fourth proportional to 14,309.06, 19,745.64 and 8,021.30 is: 11,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.06 : 19,745.64 = 8,021.30 : x
  2. Step 2: Convert to fraction form
    14,309.06/19,745.64 = 8,021.30/x
  3. Step 3: Cross multiply
    14,309.06x = 19,745.64 × 8,021.30
  4. Step 4: Simplify right side
    14,309.06x = 158,385,702.13
  5. Step 5: Solve for x
    x = 158,385,702.13/14,309.06
  6. Step 6: Final answer
    x = 11,068.91

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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.