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Finding the Fourth Proportional to 22,842.99, 31,522.59 and 13,283.64

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Solution

The fourth proportional to 22,842.99, 31,522.59 and 13,283.64 is: 18,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.99 : 31,522.59 = 13,283.64 : x
  2. Step 2: Convert to fraction form
    22,842.99/31,522.59 = 13,283.64/x
  3. Step 3: Cross multiply
    22,842.99x = 31,522.59 × 13,283.64
  4. Step 4: Simplify right side
    22,842.99x = 418,734,737.43
  5. Step 5: Solve for x
    x = 418,734,737.43/22,842.99
  6. Step 6: Final answer
    x = 18,331.00

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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.