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Finding the Fourth Proportional to 19,658.25, 29,492.37 and 5,807.25

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Solution

The fourth proportional to 19,658.25, 29,492.37 and 5,807.25 is: 8,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.25 : 29,492.37 = 5,807.25 : x
  2. Step 2: Convert to fraction form
    19,658.25/29,492.37 = 5,807.25/x
  3. Step 3: Cross multiply
    19,658.25x = 29,492.37 × 5,807.25
  4. Step 4: Simplify right side
    19,658.25x = 171,269,565.68
  5. Step 5: Solve for x
    x = 171,269,565.68/19,658.25
  6. Step 6: Final answer
    x = 8,712.35

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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.