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Finding the Fourth Proportional to 18,567.84, 27,852 and 4,716.96

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Solution

The fourth proportional to 18,567.84, 27,852 and 4,716.96 is: 7,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.84 : 27,852 = 4,716.96 : x
  2. Step 2: Convert to fraction form
    18,567.84/27,852 = 4,716.96/x
  3. Step 3: Cross multiply
    18,567.84x = 27,852 × 4,716.96
  4. Step 4: Simplify right side
    18,567.84x = 131,376,769.92
  5. Step 5: Solve for x
    x = 131,376,769.92/18,567.84
  6. Step 6: Final answer
    x = 7,075.50

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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.