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Finding the Fourth Proportional to 17,367.86, 23,968.68 and 9,814.01

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Solution

The fourth proportional to 17,367.86, 23,968.68 and 9,814.01 is: 13,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367.86 : 23,968.68 = 9,814.01 : x
  2. Step 2: Convert to fraction form
    17,367.86/23,968.68 = 9,814.01/x
  3. Step 3: Cross multiply
    17,367.86x = 23,968.68 × 9,814.01
  4. Step 4: Simplify right side
    17,367.86x = 235,228,926.19
  5. Step 5: Solve for x
    x = 235,228,926.19/17,367.86
  6. Step 6: Final answer
    x = 13,543.92

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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.