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Finding the Fourth Proportional to 16,157.32, 22,299.23 and 9,085.10

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Solution

The fourth proportional to 16,157.32, 22,299.23 and 9,085.10 is: 12,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.32 : 22,299.23 = 9,085.10 : x
  2. Step 2: Convert to fraction form
    16,157.32/22,299.23 = 9,085.10/x
  3. Step 3: Cross multiply
    16,157.32x = 22,299.23 × 9,085.10
  4. Step 4: Simplify right side
    16,157.32x = 202,590,744.80
  5. Step 5: Solve for x
    x = 202,590,744.80/16,157.32
  6. Step 6: Final answer
    x = 12,538.64

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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.