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Finding the Fourth Proportional to 19,582.34, 29,363.86 and 7,100.49

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Solution

The fourth proportional to 19,582.34, 29,363.86 and 7,100.49 is: 10,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582.34 : 29,363.86 = 7,100.49 : x
  2. Step 2: Convert to fraction form
    19,582.34/29,363.86 = 7,100.49/x
  3. Step 3: Cross multiply
    19,582.34x = 29,363.86 × 7,100.49
  4. Step 4: Simplify right side
    19,582.34x = 208,497,611.97
  5. Step 5: Solve for x
    x = 208,497,611.97/19,582.34
  6. Step 6: Final answer
    x = 10,647.23

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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.