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Finding the Fourth Proportional to 17,683.21, 24,412.89 and 11,722.93

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Solution

The fourth proportional to 17,683.21, 24,412.89 and 11,722.93 is: 16,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.21 : 24,412.89 = 11,722.93 : x
  2. Step 2: Convert to fraction form
    17,683.21/24,412.89 = 11,722.93/x
  3. Step 3: Cross multiply
    17,683.21x = 24,412.89 × 11,722.93
  4. Step 4: Simplify right side
    17,683.21x = 286,190,583.50
  5. Step 5: Solve for x
    x = 286,190,583.50/17,683.21
  6. Step 6: Final answer
    x = 16,184.31

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1.5x scale

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.