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Finding the Fourth Proportional to 19,446, 29,156.04 and 9,052.08

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Solution

The fourth proportional to 19,446, 29,156.04 and 9,052.08 is: 13,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446 : 29,156.04 = 9,052.08 : x
  2. Step 2: Convert to fraction form
    19,446/29,156.04 = 9,052.08/x
  3. Step 3: Cross multiply
    19,446x = 29,156.04 × 9,052.08
  4. Step 4: Simplify right side
    19,446x = 263,922,806.56
  5. Step 5: Solve for x
    x = 263,922,806.56/19,446
  6. Step 6: Final answer
    x = 13,572.09

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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.