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Finding the Fourth Proportional to 22,767.99, 31,419.01 and 13,208.07

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Solution

The fourth proportional to 22,767.99, 31,419.01 and 13,208.07 is: 18,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.99 : 31,419.01 = 13,208.07 : x
  2. Step 2: Convert to fraction form
    22,767.99/31,419.01 = 13,208.07/x
  3. Step 3: Cross multiply
    22,767.99x = 31,419.01 × 13,208.07
  4. Step 4: Simplify right side
    22,767.99x = 414,984,417.37
  5. Step 5: Solve for x
    x = 414,984,417.37/22,767.99
  6. Step 6: Final answer
    x = 18,226.66

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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.