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Finding the Fourth Proportional to 19,982.95, 29,977.68 and 7,503.94

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Solution

The fourth proportional to 19,982.95, 29,977.68 and 7,503.94 is: 11,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.95 : 29,977.68 = 7,503.94 : x
  2. Step 2: Convert to fraction form
    19,982.95/29,977.68 = 7,503.94/x
  3. Step 3: Cross multiply
    19,982.95x = 29,977.68 × 7,503.94
  4. Step 4: Simplify right side
    19,982.95x = 224,950,712.06
  5. Step 5: Solve for x
    x = 224,950,712.06/19,982.95
  6. Step 6: Final answer
    x = 11,257.13

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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.