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Finding the Fourth Proportional to 16,381.72, 22,607.13 and 9,668.98

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Solution

The fourth proportional to 16,381.72, 22,607.13 and 9,668.98 is: 13,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.72 : 22,607.13 = 9,668.98 : x
  2. Step 2: Convert to fraction form
    16,381.72/22,607.13 = 9,668.98/x
  3. Step 3: Cross multiply
    16,381.72x = 22,607.13 × 9,668.98
  4. Step 4: Simplify right side
    16,381.72x = 218,587,887.83
  5. Step 5: Solve for x
    x = 218,587,887.83/16,381.72
  6. Step 6: Final answer
    x = 13,343.40

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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.