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Finding the Fourth Proportional to 13,509.07, 20,254.03 and 5,182.06

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Solution

The fourth proportional to 13,509.07, 20,254.03 and 5,182.06 is: 7,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.07 : 20,254.03 = 5,182.06 : x
  2. Step 2: Convert to fraction form
    13,509.07/20,254.03 = 5,182.06/x
  3. Step 3: Cross multiply
    13,509.07x = 20,254.03 × 5,182.06
  4. Step 4: Simplify right side
    13,509.07x = 104,957,598.70
  5. Step 5: Solve for x
    x = 104,957,598.70/13,509.07
  6. Step 6: Final answer
    x = 7,769.42

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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.