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Finding the Fourth Proportional to 34,385.40, 51,583.44 and 14,664

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Solution

The fourth proportional to 34,385.40, 51,583.44 and 14,664 is: 21,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,385.40 : 51,583.44 = 14,664 : x
  2. Step 2: Convert to fraction form
    34,385.40/51,583.44 = 14,664/x
  3. Step 3: Cross multiply
    34,385.40x = 51,583.44 × 14,664
  4. Step 4: Simplify right side
    34,385.40x = 756,419,564.16
  5. Step 5: Solve for x
    x = 756,419,564.16/34,385.40
  6. Step 6: Final answer
    x = 21,998.28

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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.