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Finding the Fourth Proportional to 12,780.08, 17,636.64 and 7,190

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Solution

The fourth proportional to 12,780.08, 17,636.64 and 7,190 is: 9,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.08 : 17,636.64 = 7,190 : x
  2. Step 2: Convert to fraction form
    12,780.08/17,636.64 = 7,190/x
  3. Step 3: Cross multiply
    12,780.08x = 17,636.64 × 7,190
  4. Step 4: Simplify right side
    12,780.08x = 126,807,441.60
  5. Step 5: Solve for x
    x = 126,807,441.60/12,780.08
  6. Step 6: Final answer
    x = 9,922.27

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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.