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Finding the Fourth Proportional to 14,104.66, 21,136.19 and 7,856.07

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Solution

The fourth proportional to 14,104.66, 21,136.19 and 7,856.07 is: 11,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.66 : 21,136.19 = 7,856.07 : x
  2. Step 2: Convert to fraction form
    14,104.66/21,136.19 = 7,856.07/x
  3. Step 3: Cross multiply
    14,104.66x = 21,136.19 × 7,856.07
  4. Step 4: Simplify right side
    14,104.66x = 166,047,302.13
  5. Step 5: Solve for x
    x = 166,047,302.13/14,104.66
  6. Step 6: Final answer
    x = 11,772.52

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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.