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Finding the Fourth Proportional to 19,827.82, 29,710.11 and 10,467.46

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Solution

The fourth proportional to 19,827.82, 29,710.11 and 10,467.46 is: 15,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.82 : 29,710.11 = 10,467.46 : x
  2. Step 2: Convert to fraction form
    19,827.82/29,710.11 = 10,467.46/x
  3. Step 3: Cross multiply
    19,827.82x = 29,710.11 × 10,467.46
  4. Step 4: Simplify right side
    19,827.82x = 310,989,388.02
  5. Step 5: Solve for x
    x = 310,989,388.02/19,827.82
  6. Step 6: Final answer
    x = 15,684.50

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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.