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Finding the Fourth Proportional to 19,675.81, 29,513.46 and 11,780.53

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Solution

The fourth proportional to 19,675.81, 29,513.46 and 11,780.53 is: 17,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.81 : 29,513.46 = 11,780.53 : x
  2. Step 2: Convert to fraction form
    19,675.81/29,513.46 = 11,780.53/x
  3. Step 3: Cross multiply
    19,675.81x = 29,513.46 × 11,780.53
  4. Step 4: Simplify right side
    19,675.81x = 347,684,200.93
  5. Step 5: Solve for x
    x = 347,684,200.93/19,675.81
  6. Step 6: Final answer
    x = 17,670.64

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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.