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Finding the Fourth Proportional to 16,005.98, 24,002.89 and 7,683.64

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Solution

The fourth proportional to 16,005.98, 24,002.89 and 7,683.64 is: 11,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.98 : 24,002.89 = 7,683.64 : x
  2. Step 2: Convert to fraction form
    16,005.98/24,002.89 = 7,683.64/x
  3. Step 3: Cross multiply
    16,005.98x = 24,002.89 × 7,683.64
  4. Step 4: Simplify right side
    16,005.98x = 184,429,565.72
  5. Step 5: Solve for x
    x = 184,429,565.72/16,005.98
  6. Step 6: Final answer
    x = 11,522.54

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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.