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Finding the Fourth Proportional to 13,000.26, 19,501.20 and 5,208.06

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Solution

The fourth proportional to 13,000.26, 19,501.20 and 5,208.06 is: 7,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.26 : 19,501.20 = 5,208.06 : x
  2. Step 2: Convert to fraction form
    13,000.26/19,501.20 = 5,208.06/x
  3. Step 3: Cross multiply
    13,000.26x = 19,501.20 × 5,208.06
  4. Step 4: Simplify right side
    13,000.26x = 101,563,419.67
  5. Step 5: Solve for x
    x = 101,563,419.67/13,000.26
  6. Step 6: Final answer
    x = 7,812.41

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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.