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Finding the Fourth Proportional to 16,165.76, 22,301.26 and 9,451.67

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Solution

The fourth proportional to 16,165.76, 22,301.26 and 9,451.67 is: 13,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.76 : 22,301.26 = 9,451.67 : x
  2. Step 2: Convert to fraction form
    16,165.76/22,301.26 = 9,451.67/x
  3. Step 3: Cross multiply
    16,165.76x = 22,301.26 × 9,451.67
  4. Step 4: Simplify right side
    16,165.76x = 210,784,014.97
  5. Step 5: Solve for x
    x = 210,784,014.97/16,165.76
  6. Step 6: Final answer
    x = 13,038.92

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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.