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Finding the Fourth Proportional to 15,880.80, 21,916.85 and 8,809.50

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Solution

The fourth proportional to 15,880.80, 21,916.85 and 8,809.50 is: 12,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.80 : 21,916.85 = 8,809.50 : x
  2. Step 2: Convert to fraction form
    15,880.80/21,916.85 = 8,809.50/x
  3. Step 3: Cross multiply
    15,880.80x = 21,916.85 × 8,809.50
  4. Step 4: Simplify right side
    15,880.80x = 193,076,490.08
  5. Step 5: Solve for x
    x = 193,076,490.08/15,880.80
  6. Step 6: Final answer
    x = 12,157.86

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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.