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Finding the Fourth Proportional to 16,707.12, 23,003.37 and 14,184

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Solution

The fourth proportional to 16,707.12, 23,003.37 and 14,184 is: 19,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.12 : 23,003.37 = 14,184 : x
  2. Step 2: Convert to fraction form
    16,707.12/23,003.37 = 14,184/x
  3. Step 3: Cross multiply
    16,707.12x = 23,003.37 × 14,184
  4. Step 4: Simplify right side
    16,707.12x = 326,279,800.08
  5. Step 5: Solve for x
    x = 326,279,800.08/16,707.12
  6. Step 6: Final answer
    x = 19,529.39

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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.