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Finding the Fourth Proportional to 21,219.78, 29,303 and 13,683.75

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Solution

The fourth proportional to 21,219.78, 29,303 and 13,683.75 is: 18,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.78 : 29,303 = 13,683.75 : x
  2. Step 2: Convert to fraction form
    21,219.78/29,303 = 13,683.75/x
  3. Step 3: Cross multiply
    21,219.78x = 29,303 × 13,683.75
  4. Step 4: Simplify right side
    21,219.78x = 400,974,926.25
  5. Step 5: Solve for x
    x = 400,974,926.25/21,219.78
  6. Step 6: Final answer
    x = 18,896.28

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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.