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Finding the Fourth Proportional to 21,048.50, 29,047.34 and 11,616.86

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Solution

The fourth proportional to 21,048.50, 29,047.34 and 11,616.86 is: 16,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.50 : 29,047.34 = 11,616.86 : x
  2. Step 2: Convert to fraction form
    21,048.50/29,047.34 = 11,616.86/x
  3. Step 3: Cross multiply
    21,048.50x = 29,047.34 × 11,616.86
  4. Step 4: Simplify right side
    21,048.50x = 337,438,882.15
  5. Step 5: Solve for x
    x = 337,438,882.15/21,048.50
  6. Step 6: Final answer
    x = 16,031.49

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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.