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Finding the Fourth Proportional to 19,492.48, 29,208 and 11,704.96

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Solution

The fourth proportional to 19,492.48, 29,208 and 11,704.96 is: 17,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.48 : 29,208 = 11,704.96 : x
  2. Step 2: Convert to fraction form
    19,492.48/29,208 = 11,704.96/x
  3. Step 3: Cross multiply
    19,492.48x = 29,208 × 11,704.96
  4. Step 4: Simplify right side
    19,492.48x = 341,878,471.68
  5. Step 5: Solve for x
    x = 341,878,471.68/19,492.48
  6. Step 6: Final answer
    x = 17,538.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.