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Finding the Fourth Proportional to 16,402.32, 22,662.72 and 13,069.98

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Solution

The fourth proportional to 16,402.32, 22,662.72 and 13,069.98 is: 18,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.32 : 22,662.72 = 13,069.98 : x
  2. Step 2: Convert to fraction form
    16,402.32/22,662.72 = 13,069.98/x
  3. Step 3: Cross multiply
    16,402.32x = 22,662.72 × 13,069.98
  4. Step 4: Simplify right side
    16,402.32x = 296,201,297.15
  5. Step 5: Solve for x
    x = 296,201,297.15/16,402.32
  6. Step 6: Final answer
    x = 18,058.50

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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.