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Finding the Fourth Proportional to 19,672.79, 29,509.15 and 6,165

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Solution

The fourth proportional to 19,672.79, 29,509.15 and 6,165 is: 9,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.79 : 29,509.15 = 6,165 : x
  2. Step 2: Convert to fraction form
    19,672.79/29,509.15 = 6,165/x
  3. Step 3: Cross multiply
    19,672.79x = 29,509.15 × 6,165
  4. Step 4: Simplify right side
    19,672.79x = 181,923,894.34
  5. Step 5: Solve for x
    x = 181,923,894.34/19,672.79
  6. Step 6: Final answer
    x = 9,247.49

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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.