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Finding the Fourth Proportional to 16,294.30, 22,484.79 and 9,580.21

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Solution

The fourth proportional to 16,294.30, 22,484.79 and 9,580.21 is: 13,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.30 : 22,484.79 = 9,580.21 : x
  2. Step 2: Convert to fraction form
    16,294.30/22,484.79 = 9,580.21/x
  3. Step 3: Cross multiply
    16,294.30x = 22,484.79 × 9,580.21
  4. Step 4: Simplify right side
    16,294.30x = 215,409,010.01
  5. Step 5: Solve for x
    x = 215,409,010.01/16,294.30
  6. Step 6: Final answer
    x = 13,219.90

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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.