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Finding the Fourth Proportional to 17,368.94, 23,978.07 and 11,002.19

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Solution

The fourth proportional to 17,368.94, 23,978.07 and 11,002.19 is: 15,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.94 : 23,978.07 = 11,002.19 : x
  2. Step 2: Convert to fraction form
    17,368.94/23,978.07 = 11,002.19/x
  3. Step 3: Cross multiply
    17,368.94x = 23,978.07 × 11,002.19
  4. Step 4: Simplify right side
    17,368.94x = 263,811,162.08
  5. Step 5: Solve for x
    x = 263,811,162.08/17,368.94
  6. Step 6: Final answer
    x = 15,188.68

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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.