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Finding the Fourth Proportional to 13,009, 19,513.50 and 4,801

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Solution

The fourth proportional to 13,009, 19,513.50 and 4,801 is: 7,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009 : 19,513.50 = 4,801 : x
  2. Step 2: Convert to fraction form
    13,009/19,513.50 = 4,801/x
  3. Step 3: Cross multiply
    13,009x = 19,513.50 × 4,801
  4. Step 4: Simplify right side
    13,009x = 93,684,313.50
  5. Step 5: Solve for x
    x = 93,684,313.50/13,009
  6. Step 6: Final answer
    x = 7,201.50

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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.