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Finding the Fourth Proportional to 19,672.16, 29,533.97 and 11,681.53

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Solution

The fourth proportional to 19,672.16, 29,533.97 and 11,681.53 is: 17,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.16 : 29,533.97 = 11,681.53 : x
  2. Step 2: Convert to fraction form
    19,672.16/29,533.97 = 11,681.53/x
  3. Step 3: Cross multiply
    19,672.16x = 29,533.97 × 11,681.53
  4. Step 4: Simplify right side
    19,672.16x = 345,001,911.94
  5. Step 5: Solve for x
    x = 345,001,911.94/19,672.16
  6. Step 6: Final answer
    x = 17,537.58

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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.