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Finding the Fourth Proportional to 16,085.66, 24,136.47 and 7,203.60

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Solution

The fourth proportional to 16,085.66, 24,136.47 and 7,203.60 is: 10,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.66 : 24,136.47 = 7,203.60 : x
  2. Step 2: Convert to fraction form
    16,085.66/24,136.47 = 7,203.60/x
  3. Step 3: Cross multiply
    16,085.66x = 24,136.47 × 7,203.60
  4. Step 4: Simplify right side
    16,085.66x = 173,869,475.29
  5. Step 5: Solve for x
    x = 173,869,475.29/16,085.66
  6. Step 6: Final answer
    x = 10,808.98

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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.