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Finding the Fourth Proportional to 16,453.82, 22,699.82 and 9,737.00

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Solution

The fourth proportional to 16,453.82, 22,699.82 and 9,737.00 is: 13,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.82 : 22,699.82 = 9,737.00 : x
  2. Step 2: Convert to fraction form
    16,453.82/22,699.82 = 9,737.00/x
  3. Step 3: Cross multiply
    16,453.82x = 22,699.82 × 9,737.00
  4. Step 4: Simplify right side
    16,453.82x = 221,028,155.40
  5. Step 5: Solve for x
    x = 221,028,155.40/16,453.82
  6. Step 6: Final answer
    x = 13,433.24

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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.