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Finding the Fourth Proportional to 16,322.82, 22,538.19 and 12,539.98

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Solution

The fourth proportional to 16,322.82, 22,538.19 and 12,539.98 is: 17,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.82 : 22,538.19 = 12,539.98 : x
  2. Step 2: Convert to fraction form
    16,322.82/22,538.19 = 12,539.98/x
  3. Step 3: Cross multiply
    16,322.82x = 22,538.19 × 12,539.98
  4. Step 4: Simplify right side
    16,322.82x = 282,628,451.84
  5. Step 5: Solve for x
    x = 282,628,451.84/16,322.82
  6. Step 6: Final answer
    x = 17,314.93

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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.