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Finding the Fourth Proportional to 16,522.71, 22,802.70 and 9,450.49

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Solution

The fourth proportional to 16,522.71, 22,802.70 and 9,450.49 is: 13,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.71 : 22,802.70 = 9,450.49 : x
  2. Step 2: Convert to fraction form
    16,522.71/22,802.70 = 9,450.49/x
  3. Step 3: Cross multiply
    16,522.71x = 22,802.70 × 9,450.49
  4. Step 4: Simplify right side
    16,522.71x = 215,496,688.32
  5. Step 5: Solve for x
    x = 215,496,688.32/16,522.71
  6. Step 6: Final answer
    x = 13,042.45

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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.