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Finding the Fourth Proportional to 16,330.42, 22,536.24 and 9,256.70

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Solution

The fourth proportional to 16,330.42, 22,536.24 and 9,256.70 is: 12,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330.42 : 22,536.24 = 9,256.70 : x
  2. Step 2: Convert to fraction form
    16,330.42/22,536.24 = 9,256.70/x
  3. Step 3: Cross multiply
    16,330.42x = 22,536.24 × 9,256.70
  4. Step 4: Simplify right side
    16,330.42x = 208,611,212.81
  5. Step 5: Solve for x
    x = 208,611,212.81/16,330.42
  6. Step 6: Final answer
    x = 12,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.