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Finding the Fourth Proportional to 16,623.84, 22,945.66 and 9,824.16

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Solution

The fourth proportional to 16,623.84, 22,945.66 and 9,824.16 is: 13,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623.84 : 22,945.66 = 9,824.16 : x
  2. Step 2: Convert to fraction form
    16,623.84/22,945.66 = 9,824.16/x
  3. Step 3: Cross multiply
    16,623.84x = 22,945.66 × 9,824.16
  4. Step 4: Simplify right side
    16,623.84x = 225,421,835.15
  5. Step 5: Solve for x
    x = 225,421,835.15/16,623.84
  6. Step 6: Final answer
    x = 13,560.15

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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.