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Finding the Fourth Proportional to 20,567.04, 30,852 and 10,176

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Solution

The fourth proportional to 20,567.04, 30,852 and 10,176 is: 15,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.04 : 30,852 = 10,176 : x
  2. Step 2: Convert to fraction form
    20,567.04/30,852 = 10,176/x
  3. Step 3: Cross multiply
    20,567.04x = 30,852 × 10,176
  4. Step 4: Simplify right side
    20,567.04x = 313,949,952
  5. Step 5: Solve for x
    x = 313,949,952/20,567.04
  6. Step 6: Final answer
    x = 15,264.71

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