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Finding the Fourth Proportional to 19,583.01, 29,374.52 and 5,732.01

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Solution

The fourth proportional to 19,583.01, 29,374.52 and 5,732.01 is: 8,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.01 : 29,374.52 = 5,732.01 : x
  2. Step 2: Convert to fraction form
    19,583.01/29,374.52 = 5,732.01/x
  3. Step 3: Cross multiply
    19,583.01x = 29,374.52 × 5,732.01
  4. Step 4: Simplify right side
    19,583.01x = 168,375,013.73
  5. Step 5: Solve for x
    x = 168,375,013.73/19,583.01
  6. Step 6: Final answer
    x = 8,598.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.