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Finding the Fourth Proportional to 16,536.64, 22,814.13 and 9,364.91

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Solution

The fourth proportional to 16,536.64, 22,814.13 and 9,364.91 is: 12,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.64 : 22,814.13 = 9,364.91 : x
  2. Step 2: Convert to fraction form
    16,536.64/22,814.13 = 9,364.91/x
  3. Step 3: Cross multiply
    16,536.64x = 22,814.13 × 9,364.91
  4. Step 4: Simplify right side
    16,536.64x = 213,652,274.18
  5. Step 5: Solve for x
    x = 213,652,274.18/16,536.64
  6. Step 6: Final answer
    x = 12,919.93

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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.