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Finding the Fourth Proportional to 21,041.22, 29,039.66 and 13,385.24

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Solution

The fourth proportional to 21,041.22, 29,039.66 and 13,385.24 is: 18,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041.22 : 29,039.66 = 13,385.24 : x
  2. Step 2: Convert to fraction form
    21,041.22/29,039.66 = 13,385.24/x
  3. Step 3: Cross multiply
    21,041.22x = 29,039.66 × 13,385.24
  4. Step 4: Simplify right side
    21,041.22x = 388,702,715.34
  5. Step 5: Solve for x
    x = 388,702,715.34/21,041.22
  6. Step 6: Final answer
    x = 18,473.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.