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Finding the Fourth Proportional to 16,100.14, 24,157.16 and 8,709.80

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Solution

The fourth proportional to 16,100.14, 24,157.16 and 8,709.80 is: 13,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.14 : 24,157.16 = 8,709.80 : x
  2. Step 2: Convert to fraction form
    16,100.14/24,157.16 = 8,709.80/x
  3. Step 3: Cross multiply
    16,100.14x = 24,157.16 × 8,709.80
  4. Step 4: Simplify right side
    16,100.14x = 210,403,928.23
  5. Step 5: Solve for x
    x = 210,403,928.23/16,100.14
  6. Step 6: Final answer
    x = 13,068.46

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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.