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Finding the Fourth Proportional to 14,194, 19,597.80 and 11,537.20

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Solution

The fourth proportional to 14,194, 19,597.80 and 11,537.20 is: 15,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194 : 19,597.80 = 11,537.20 : x
  2. Step 2: Convert to fraction form
    14,194/19,597.80 = 11,537.20/x
  3. Step 3: Cross multiply
    14,194x = 19,597.80 × 11,537.20
  4. Step 4: Simplify right side
    14,194x = 226,103,738.16
  5. Step 5: Solve for x
    x = 226,103,738.16/14,194
  6. Step 6: Final answer
    x = 15,929.53

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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.