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Finding the Fourth Proportional to 19,640.70, 29,461.05 and 9,110.70

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Solution

The fourth proportional to 19,640.70, 29,461.05 and 9,110.70 is: 13,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.70 : 29,461.05 = 9,110.70 : x
  2. Step 2: Convert to fraction form
    19,640.70/29,461.05 = 9,110.70/x
  3. Step 3: Cross multiply
    19,640.70x = 29,461.05 × 9,110.70
  4. Step 4: Simplify right side
    19,640.70x = 268,410,788.24
  5. Step 5: Solve for x
    x = 268,410,788.24/19,640.70
  6. Step 6: Final answer
    x = 13,666.05

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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.