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Finding the Fourth Proportional to 19,829, 27,362.74 and 10,874.60

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Solution

The fourth proportional to 19,829, 27,362.74 and 10,874.60 is: 15,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829 : 27,362.74 = 10,874.60 : x
  2. Step 2: Convert to fraction form
    19,829/27,362.74 = 10,874.60/x
  3. Step 3: Cross multiply
    19,829x = 27,362.74 × 10,874.60
  4. Step 4: Simplify right side
    19,829x = 297,558,852.40
  5. Step 5: Solve for x
    x = 297,558,852.40/19,829
  6. Step 6: Final answer
    x = 15,006.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.