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Finding the Fourth Proportional to 17,617.44, 24,312.24 and 10,164

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Solution

The fourth proportional to 17,617.44, 24,312.24 and 10,164 is: 14,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.44 : 24,312.24 = 10,164 : x
  2. Step 2: Convert to fraction form
    17,617.44/24,312.24 = 10,164/x
  3. Step 3: Cross multiply
    17,617.44x = 24,312.24 × 10,164
  4. Step 4: Simplify right side
    17,617.44x = 247,109,607.36
  5. Step 5: Solve for x
    x = 247,109,607.36/17,617.44
  6. Step 6: Final answer
    x = 14,026.42

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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.