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Finding the Fourth Proportional to 16,709.42, 23,058.98 and 9,156.22

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Solution

The fourth proportional to 16,709.42, 23,058.98 and 9,156.22 is: 12,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.42 : 23,058.98 = 9,156.22 : x
  2. Step 2: Convert to fraction form
    16,709.42/23,058.98 = 9,156.22/x
  3. Step 3: Cross multiply
    16,709.42x = 23,058.98 × 9,156.22
  4. Step 4: Simplify right side
    16,709.42x = 211,133,093.86
  5. Step 5: Solve for x
    x = 211,133,093.86/16,709.42
  6. Step 6: Final answer
    x = 12,635.57

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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.