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Finding the Fourth Proportional to 22,409.64, 33,586.62 and 9,916.20

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Solution

The fourth proportional to 22,409.64, 33,586.62 and 9,916.20 is: 14,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.64 : 33,586.62 = 9,916.20 : x
  2. Step 2: Convert to fraction form
    22,409.64/33,586.62 = 9,916.20/x
  3. Step 3: Cross multiply
    22,409.64x = 33,586.62 × 9,916.20
  4. Step 4: Simplify right side
    22,409.64x = 333,051,641.24
  5. Step 5: Solve for x
    x = 333,051,641.24/22,409.64
  6. Step 6: Final answer
    x = 14,861.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.