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Finding the Fourth Proportional to 22,754.86, 34,090.64 and 16,499.34

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Solution

The fourth proportional to 22,754.86, 34,090.64 and 16,499.34 is: 24,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.86 : 34,090.64 = 16,499.34 : x
  2. Step 2: Convert to fraction form
    22,754.86/34,090.64 = 16,499.34/x
  3. Step 3: Cross multiply
    22,754.86x = 34,090.64 × 16,499.34
  4. Step 4: Simplify right side
    22,754.86x = 562,473,060.18
  5. Step 5: Solve for x
    x = 562,473,060.18/22,754.86
  6. Step 6: Final answer
    x = 24,718.81

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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.