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Finding the Fourth Proportional to 19,719.23, 29,521.44 and 10,337

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Solution

The fourth proportional to 19,719.23, 29,521.44 and 10,337 is: 15,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.23 : 29,521.44 = 10,337 : x
  2. Step 2: Convert to fraction form
    19,719.23/29,521.44 = 10,337/x
  3. Step 3: Cross multiply
    19,719.23x = 29,521.44 × 10,337
  4. Step 4: Simplify right side
    19,719.23x = 305,163,125.28
  5. Step 5: Solve for x
    x = 305,163,125.28/19,719.23
  6. Step 6: Final answer
    x = 15,475.41

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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.