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Finding the Fourth Proportional to 28,473.84, 42,717.78 and 11,828.88

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Solution

The fourth proportional to 28,473.84, 42,717.78 and 11,828.88 is: 17,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,473.84 : 42,717.78 = 11,828.88 : x
  2. Step 2: Convert to fraction form
    28,473.84/42,717.78 = 11,828.88/x
  3. Step 3: Cross multiply
    28,473.84x = 42,717.78 × 11,828.88
  4. Step 4: Simplify right side
    28,473.84x = 505,303,493.49
  5. Step 5: Solve for x
    x = 505,303,493.49/28,473.84
  6. Step 6: Final answer
    x = 17,746.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.