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Finding the Fourth Proportional to 19,970.44, 29,962.14 and 9,583

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Solution

The fourth proportional to 19,970.44, 29,962.14 and 9,583 is: 14,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.44 : 29,962.14 = 9,583 : x
  2. Step 2: Convert to fraction form
    19,970.44/29,962.14 = 9,583/x
  3. Step 3: Cross multiply
    19,970.44x = 29,962.14 × 9,583
  4. Step 4: Simplify right side
    19,970.44x = 287,127,187.62
  5. Step 5: Solve for x
    x = 287,127,187.62/19,970.44
  6. Step 6: Final answer
    x = 14,377.61

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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.