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Finding the Fourth Proportional to 19,632.30, 29,407.34 and 15,452.50

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Solution

The fourth proportional to 19,632.30, 29,407.34 and 15,452.50 is: 23,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.30 : 29,407.34 = 15,452.50 : x
  2. Step 2: Convert to fraction form
    19,632.30/29,407.34 = 15,452.50/x
  3. Step 3: Cross multiply
    19,632.30x = 29,407.34 × 15,452.50
  4. Step 4: Simplify right side
    19,632.30x = 454,416,921.35
  5. Step 5: Solve for x
    x = 454,416,921.35/19,632.30
  6. Step 6: Final answer
    x = 23,146.39

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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.