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Finding the Fourth Proportional to 16,122.86, 24,193.63 and 6,762.04

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Solution

The fourth proportional to 16,122.86, 24,193.63 and 6,762.04 is: 10,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.86 : 24,193.63 = 6,762.04 : x
  2. Step 2: Convert to fraction form
    16,122.86/24,193.63 = 6,762.04/x
  3. Step 3: Cross multiply
    16,122.86x = 24,193.63 × 6,762.04
  4. Step 4: Simplify right side
    16,122.86x = 163,598,307.14
  5. Step 5: Solve for x
    x = 163,598,307.14/16,122.86
  6. Step 6: Final answer
    x = 10,146.98

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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.