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Finding the Fourth Proportional to 16,065.68, 24,208.20 and 13,208.00

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Solution

The fourth proportional to 16,065.68, 24,208.20 and 13,208.00 is: 19,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.68 : 24,208.20 = 13,208.00 : x
  2. Step 2: Convert to fraction form
    16,065.68/24,208.20 = 13,208.00/x
  3. Step 3: Cross multiply
    16,065.68x = 24,208.20 × 13,208.00
  4. Step 4: Simplify right side
    16,065.68x = 319,741,784.56
  5. Step 5: Solve for x
    x = 319,741,784.56/16,065.68
  6. Step 6: Final answer
    x = 19,902.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.