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Finding the Fourth Proportional to 16,005.48, 24,002.15 and 7,683.14

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Solution

The fourth proportional to 16,005.48, 24,002.15 and 7,683.14 is: 11,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.48 : 24,002.15 = 7,683.14 : x
  2. Step 2: Convert to fraction form
    16,005.48/24,002.15 = 7,683.14/x
  3. Step 3: Cross multiply
    16,005.48x = 24,002.15 × 7,683.14
  4. Step 4: Simplify right side
    16,005.48x = 184,411,720.32
  5. Step 5: Solve for x
    x = 184,411,720.32/16,005.48
  6. Step 6: Final answer
    x = 11,521.79

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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.