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Finding the Fourth Proportional to 19,583.84, 29,366.10 and 7,101.99

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Solution

The fourth proportional to 19,583.84, 29,366.10 and 7,101.99 is: 10,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.84 : 29,366.10 = 7,101.99 : x
  2. Step 2: Convert to fraction form
    19,583.84/29,366.10 = 7,101.99/x
  3. Step 3: Cross multiply
    19,583.84x = 29,366.10 × 7,101.99
  4. Step 4: Simplify right side
    19,583.84x = 208,557,748.54
  5. Step 5: Solve for x
    x = 208,557,748.54/19,583.84
  6. Step 6: Final answer
    x = 10,649.48

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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.