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Finding the Fourth Proportional to 16,157.14, 24,225.78 and 6,284.93

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Solution

The fourth proportional to 16,157.14, 24,225.78 and 6,284.93 is: 9,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.14 : 24,225.78 = 6,284.93 : x
  2. Step 2: Convert to fraction form
    16,157.14/24,225.78 = 6,284.93/x
  3. Step 3: Cross multiply
    16,157.14x = 24,225.78 × 6,284.93
  4. Step 4: Simplify right side
    16,157.14x = 152,257,233.93
  5. Step 5: Solve for x
    x = 152,257,233.93/16,157.14
  6. Step 6: Final answer
    x = 9,423.53

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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.