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Finding the Fourth Proportional to 19,537.40, 29,306.10 and 6,386.60

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Solution

The fourth proportional to 19,537.40, 29,306.10 and 6,386.60 is: 9,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.40 : 29,306.10 = 6,386.60 : x
  2. Step 2: Convert to fraction form
    19,537.40/29,306.10 = 6,386.60/x
  3. Step 3: Cross multiply
    19,537.40x = 29,306.10 × 6,386.60
  4. Step 4: Simplify right side
    19,537.40x = 187,166,338.26
  5. Step 5: Solve for x
    x = 187,166,338.26/19,537.40
  6. Step 6: Final answer
    x = 9,579.90

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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.