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Finding the Fourth Proportional to 13,226.93, 18,254.34 and 7,259.76

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Solution

The fourth proportional to 13,226.93, 18,254.34 and 7,259.76 is: 10,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.93 : 18,254.34 = 7,259.76 : x
  2. Step 2: Convert to fraction form
    13,226.93/18,254.34 = 7,259.76/x
  3. Step 3: Cross multiply
    13,226.93x = 18,254.34 × 7,259.76
  4. Step 4: Simplify right side
    13,226.93x = 132,522,127.36
  5. Step 5: Solve for x
    x = 132,522,127.36/13,226.93
  6. Step 6: Final answer
    x = 10,019.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.