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Finding the Fourth Proportional to 19,504.16, 29,257.52 and 5,652

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Solution

The fourth proportional to 19,504.16, 29,257.52 and 5,652 is: 8,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.16 : 29,257.52 = 5,652 : x
  2. Step 2: Convert to fraction form
    19,504.16/29,257.52 = 5,652/x
  3. Step 3: Cross multiply
    19,504.16x = 29,257.52 × 5,652
  4. Step 4: Simplify right side
    19,504.16x = 165,363,503.04
  5. Step 5: Solve for x
    x = 165,363,503.04/19,504.16
  6. Step 6: Final answer
    x = 8,478.37

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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.