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Finding the Fourth Proportional to 13,006.35, 19,509.53 and 5,209.70

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Solution

The fourth proportional to 13,006.35, 19,509.53 and 5,209.70 is: 7,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.35 : 19,509.53 = 5,209.70 : x
  2. Step 2: Convert to fraction form
    13,006.35/19,509.53 = 5,209.70/x
  3. Step 3: Cross multiply
    13,006.35x = 19,509.53 × 5,209.70
  4. Step 4: Simplify right side
    13,006.35x = 101,638,674.84
  5. Step 5: Solve for x
    x = 101,638,674.84/13,006.35
  6. Step 6: Final answer
    x = 7,814.54

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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.