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Finding the Fourth Proportional to 19,537.45, 29,307.49 and 9,674.08

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Solution

The fourth proportional to 19,537.45, 29,307.49 and 9,674.08 is: 14,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.45 : 29,307.49 = 9,674.08 : x
  2. Step 2: Convert to fraction form
    19,537.45/29,307.49 = 9,674.08/x
  3. Step 3: Cross multiply
    19,537.45x = 29,307.49 × 9,674.08
  4. Step 4: Simplify right side
    19,537.45x = 283,522,807.95
  5. Step 5: Solve for x
    x = 283,522,807.95/19,537.45
  6. Step 6: Final answer
    x = 14,511.76

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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.