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Finding the Fourth Proportional to 17,413, 24,029.94 and 9,961

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Solution

The fourth proportional to 17,413, 24,029.94 and 9,961 is: 13,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413 : 24,029.94 = 9,961 : x
  2. Step 2: Convert to fraction form
    17,413/24,029.94 = 9,961/x
  3. Step 3: Cross multiply
    17,413x = 24,029.94 × 9,961
  4. Step 4: Simplify right side
    17,413x = 239,362,232.34
  5. Step 5: Solve for x
    x = 239,362,232.34/17,413
  6. Step 6: Final answer
    x = 13,746.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.