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Finding the Fourth Proportional to 13,233.80, 18,262.85 and 7,266

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Solution

The fourth proportional to 13,233.80, 18,262.85 and 7,266 is: 10,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.80 : 18,262.85 = 7,266 : x
  2. Step 2: Convert to fraction form
    13,233.80/18,262.85 = 7,266/x
  3. Step 3: Cross multiply
    13,233.80x = 18,262.85 × 7,266
  4. Step 4: Simplify right side
    13,233.80x = 132,697,831.77
  5. Step 5: Solve for x
    x = 132,697,831.77/13,233.80
  6. Step 6: Final answer
    x = 10,027.19

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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.