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Finding the Fourth Proportional to 14,161, 19,529.84 and 9,909.92

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Solution

The fourth proportional to 14,161, 19,529.84 and 9,909.92 is: 13,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161 : 19,529.84 = 9,909.92 : x
  2. Step 2: Convert to fraction form
    14,161/19,529.84 = 9,909.92/x
  3. Step 3: Cross multiply
    14,161x = 19,529.84 × 9,909.92
  4. Step 4: Simplify right side
    14,161x = 193,539,152.01
  5. Step 5: Solve for x
    x = 193,539,152.01/14,161
  6. Step 6: Final answer
    x = 13,667.05

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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.