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Finding the Fourth Proportional to 17,051.82, 23,562.02 and 13,284.71

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Solution

The fourth proportional to 17,051.82, 23,562.02 and 13,284.71 is: 18,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.82 : 23,562.02 = 13,284.71 : x
  2. Step 2: Convert to fraction form
    17,051.82/23,562.02 = 13,284.71/x
  3. Step 3: Cross multiply
    17,051.82x = 23,562.02 × 13,284.71
  4. Step 4: Simplify right side
    17,051.82x = 313,014,602.71
  5. Step 5: Solve for x
    x = 313,014,602.71/17,051.82
  6. Step 6: Final answer
    x = 18,356.67

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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.