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Finding the Fourth Proportional to 16,690.32, 23,032.53 and 9,136.50

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Solution

The fourth proportional to 16,690.32, 23,032.53 and 9,136.50 is: 12,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.32 : 23,032.53 = 9,136.50 : x
  2. Step 2: Convert to fraction form
    16,690.32/23,032.53 = 9,136.50/x
  3. Step 3: Cross multiply
    16,690.32x = 23,032.53 × 9,136.50
  4. Step 4: Simplify right side
    16,690.32x = 210,436,710.35
  5. Step 5: Solve for x
    x = 210,436,710.35/16,690.32
  6. Step 6: Final answer
    x = 12,608.31

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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.