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Finding the Fourth Proportional to 19,536.95, 29,306.74 and 9,673.58

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Solution

The fourth proportional to 19,536.95, 29,306.74 and 9,673.58 is: 14,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.95 : 29,306.74 = 9,673.58 : x
  2. Step 2: Convert to fraction form
    19,536.95/29,306.74 = 9,673.58/x
  3. Step 3: Cross multiply
    19,536.95x = 29,306.74 × 9,673.58
  4. Step 4: Simplify right side
    19,536.95x = 283,500,899.03
  5. Step 5: Solve for x
    x = 283,500,899.03/19,536.95
  6. Step 6: Final answer
    x = 14,511.01

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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.