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Finding the Fourth Proportional to 35,814.66, 53,723.34 and 13,623.90

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Solution

The fourth proportional to 35,814.66, 53,723.34 and 13,623.90 is: 20,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.66 : 53,723.34 = 13,623.90 : x
  2. Step 2: Convert to fraction form
    35,814.66/53,723.34 = 13,623.90/x
  3. Step 3: Cross multiply
    35,814.66x = 53,723.34 × 13,623.90
  4. Step 4: Simplify right side
    35,814.66x = 731,921,411.83
  5. Step 5: Solve for x
    x = 731,921,411.83/35,814.66
  6. Step 6: Final answer
    x = 20,436.36

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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.