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Finding the Fourth Proportional to 19,803.57, 29,715.14 and 9,274.33

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Solution

The fourth proportional to 19,803.57, 29,715.14 and 9,274.33 is: 13,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.57 : 29,715.14 = 9,274.33 : x
  2. Step 2: Convert to fraction form
    19,803.57/29,715.14 = 9,274.33/x
  3. Step 3: Cross multiply
    19,803.57x = 29,715.14 × 9,274.33
  4. Step 4: Simplify right side
    19,803.57x = 275,588,014.36
  5. Step 5: Solve for x
    x = 275,588,014.36/19,803.57
  6. Step 6: Final answer
    x = 13,916.08

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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.