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Finding the Fourth Proportional to 17,846.09, 24,630.65 and 10,291.07

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Solution

The fourth proportional to 17,846.09, 24,630.65 and 10,291.07 is: 14,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.09 : 24,630.65 = 10,291.07 : x
  2. Step 2: Convert to fraction form
    17,846.09/24,630.65 = 10,291.07/x
  3. Step 3: Cross multiply
    17,846.09x = 24,630.65 × 10,291.07
  4. Step 4: Simplify right side
    17,846.09x = 253,475,594.41
  5. Step 5: Solve for x
    x = 253,475,594.41/17,846.09
  6. Step 6: Final answer
    x = 14,203.43

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