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Finding the Fourth Proportional to 16,005.35, 24,014.93 and 6,647.42

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Solution

The fourth proportional to 16,005.35, 24,014.93 and 6,647.42 is: 9,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.35 : 24,014.93 = 6,647.42 : x
  2. Step 2: Convert to fraction form
    16,005.35/24,014.93 = 6,647.42/x
  3. Step 3: Cross multiply
    16,005.35x = 24,014.93 × 6,647.42
  4. Step 4: Simplify right side
    16,005.35x = 159,637,255.09
  5. Step 5: Solve for x
    x = 159,637,255.09/16,005.35
  6. Step 6: Final answer
    x = 9,974.00

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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.