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Finding the Fourth Proportional to 17,253.12, 23,796 and 14,596.32

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Solution

The fourth proportional to 17,253.12, 23,796 and 14,596.32 is: 20,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,253.12 : 23,796 = 14,596.32 : x
  2. Step 2: Convert to fraction form
    17,253.12/23,796 = 14,596.32/x
  3. Step 3: Cross multiply
    17,253.12x = 23,796 × 14,596.32
  4. Step 4: Simplify right side
    17,253.12x = 347,334,030.72
  5. Step 5: Solve for x
    x = 347,334,030.72/17,253.12
  6. Step 6: Final answer
    x = 20,131.66

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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.