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Finding the Fourth Proportional to 27,803, 41,706.32 and 11,160.84

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Solution

The fourth proportional to 27,803, 41,706.32 and 11,160.84 is: 16,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803 : 41,706.32 = 11,160.84 : x
  2. Step 2: Convert to fraction form
    27,803/41,706.32 = 11,160.84/x
  3. Step 3: Cross multiply
    27,803x = 41,706.32 × 11,160.84
  4. Step 4: Simplify right side
    27,803x = 465,477,564.51
  5. Step 5: Solve for x
    x = 465,477,564.51/27,803
  6. Step 6: Final answer
    x = 16,741.99

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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.