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Finding the Fourth Proportional to 13,188.42, 18,197.73 and 7,598.34

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Solution

The fourth proportional to 13,188.42, 18,197.73 and 7,598.34 is: 10,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.42 : 18,197.73 = 7,598.34 : x
  2. Step 2: Convert to fraction form
    13,188.42/18,197.73 = 7,598.34/x
  3. Step 3: Cross multiply
    13,188.42x = 18,197.73 × 7,598.34
  4. Step 4: Simplify right side
    13,188.42x = 138,272,539.77
  5. Step 5: Solve for x
    x = 138,272,539.77/13,188.42
  6. Step 6: Final answer
    x = 10,484.39

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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.