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Finding the Fourth Proportional to 19,671, 29,525.94 and 10,437

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Solution

The fourth proportional to 19,671, 29,525.94 and 10,437 is: 15,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671 : 29,525.94 = 10,437 : x
  2. Step 2: Convert to fraction form
    19,671/29,525.94 = 10,437/x
  3. Step 3: Cross multiply
    19,671x = 29,525.94 × 10,437
  4. Step 4: Simplify right side
    19,671x = 308,162,235.78
  5. Step 5: Solve for x
    x = 308,162,235.78/19,671
  6. Step 6: Final answer
    x = 15,665.81

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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.