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Finding the Fourth Proportional to 22,035.48, 30,409.50 and 13,083.06

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Solution

The fourth proportional to 22,035.48, 30,409.50 and 13,083.06 is: 18,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.48 : 30,409.50 = 13,083.06 : x
  2. Step 2: Convert to fraction form
    22,035.48/30,409.50 = 13,083.06/x
  3. Step 3: Cross multiply
    22,035.48x = 30,409.50 × 13,083.06
  4. Step 4: Simplify right side
    22,035.48x = 397,849,313.07
  5. Step 5: Solve for x
    x = 397,849,313.07/22,035.48
  6. Step 6: Final answer
    x = 18,054.94

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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.