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Finding the Fourth Proportional to 13,190, 19,774.68 and 6,941.84

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Solution

The fourth proportional to 13,190, 19,774.68 and 6,941.84 is: 10,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190 : 19,774.68 = 6,941.84 : x
  2. Step 2: Convert to fraction form
    13,190/19,774.68 = 6,941.84/x
  3. Step 3: Cross multiply
    13,190x = 19,774.68 × 6,941.84
  4. Step 4: Simplify right side
    13,190x = 137,272,664.61
  5. Step 5: Solve for x
    x = 137,272,664.61/13,190
  6. Step 6: Final answer
    x = 10,407.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.