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Finding the Fourth Proportional to 16,683.90, 23,024.37 and 9,130.08

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Solution

The fourth proportional to 16,683.90, 23,024.37 and 9,130.08 is: 12,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.90 : 23,024.37 = 9,130.08 : x
  2. Step 2: Convert to fraction form
    16,683.90/23,024.37 = 9,130.08/x
  3. Step 3: Cross multiply
    16,683.90x = 23,024.37 × 9,130.08
  4. Step 4: Simplify right side
    16,683.90x = 210,214,340.05
  5. Step 5: Solve for x
    x = 210,214,340.05/16,683.90
  6. Step 6: Final answer
    x = 12,599.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.