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Finding the Fourth Proportional to 18,471, 27,706.50 and 7,527

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Solution

The fourth proportional to 18,471, 27,706.50 and 7,527 is: 11,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471 : 27,706.50 = 7,527 : x
  2. Step 2: Convert to fraction form
    18,471/27,706.50 = 7,527/x
  3. Step 3: Cross multiply
    18,471x = 27,706.50 × 7,527
  4. Step 4: Simplify right side
    18,471x = 208,546,825.50
  5. Step 5: Solve for x
    x = 208,546,825.50/18,471
  6. Step 6: Final answer
    x = 11,290.50

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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.