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Finding the Fourth Proportional to 16,507.94, 22,754.32 and 13,518.50

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Solution

The fourth proportional to 16,507.94, 22,754.32 and 13,518.50 is: 18,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.94 : 22,754.32 = 13,518.50 : x
  2. Step 2: Convert to fraction form
    16,507.94/22,754.32 = 13,518.50/x
  3. Step 3: Cross multiply
    16,507.94x = 22,754.32 × 13,518.50
  4. Step 4: Simplify right side
    16,507.94x = 307,604,127.35
  5. Step 5: Solve for x
    x = 307,604,127.35/16,507.94
  6. Step 6: Final answer
    x = 18,633.71

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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.