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Finding the Fourth Proportional to 14,269, 19,691.22 and 9,301

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Solution

The fourth proportional to 14,269, 19,691.22 and 9,301 is: 12,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269 : 19,691.22 = 9,301 : x
  2. Step 2: Convert to fraction form
    14,269/19,691.22 = 9,301/x
  3. Step 3: Cross multiply
    14,269x = 19,691.22 × 9,301
  4. Step 4: Simplify right side
    14,269x = 183,148,037.22
  5. Step 5: Solve for x
    x = 183,148,037.22/14,269
  6. Step 6: Final answer
    x = 12,835.38

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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.