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Finding the Fourth Proportional to 19,634, 29,460.45 and 9,774.14

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Solution

The fourth proportional to 19,634, 29,460.45 and 9,774.14 is: 14,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634 : 29,460.45 = 9,774.14 : x
  2. Step 2: Convert to fraction form
    19,634/29,460.45 = 9,774.14/x
  3. Step 3: Cross multiply
    19,634x = 29,460.45 × 9,774.14
  4. Step 4: Simplify right side
    19,634x = 287,950,562.76
  5. Step 5: Solve for x
    x = 287,950,562.76/19,634
  6. Step 6: Final answer
    x = 14,665.91

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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.