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Finding the Fourth Proportional to 19,574.64, 29,325 and 15,170.54

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Solution

The fourth proportional to 19,574.64, 29,325 and 15,170.54 is: 22,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.64 : 29,325 = 15,170.54 : x
  2. Step 2: Convert to fraction form
    19,574.64/29,325 = 15,170.54/x
  3. Step 3: Cross multiply
    19,574.64x = 29,325 × 15,170.54
  4. Step 4: Simplify right side
    19,574.64x = 444,876,085.50
  5. Step 5: Solve for x
    x = 444,876,085.50/19,574.64
  6. Step 6: Final answer
    x = 22,727.17

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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.