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Finding the Fourth Proportional to 14,384.39, 19,849.19 and 8,011.37

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Solution

The fourth proportional to 14,384.39, 19,849.19 and 8,011.37 is: 11,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.39 : 19,849.19 = 8,011.37 : x
  2. Step 2: Convert to fraction form
    14,384.39/19,849.19 = 8,011.37/x
  3. Step 3: Cross multiply
    14,384.39x = 19,849.19 × 8,011.37
  4. Step 4: Simplify right side
    14,384.39x = 159,019,214.86
  5. Step 5: Solve for x
    x = 159,019,214.86/14,384.39
  6. Step 6: Final answer
    x = 11,054.99

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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.