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Finding the Fourth Proportional to 21,616, 32,424.01 and 5,200

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Solution

The fourth proportional to 21,616, 32,424.01 and 5,200 is: 7,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616 : 32,424.01 = 5,200 : x
  2. Step 2: Convert to fraction form
    21,616/32,424.01 = 5,200/x
  3. Step 3: Cross multiply
    21,616x = 32,424.01 × 5,200
  4. Step 4: Simplify right side
    21,616x = 168,604,852
  5. Step 5: Solve for x
    x = 168,604,852/21,616
  6. Step 6: Final answer
    x = 7,800.00

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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.