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Finding the Fourth Proportional to 17,619.50, 24,316 and 10,167.50

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Solution

The fourth proportional to 17,619.50, 24,316 and 10,167.50 is: 14,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.50 : 24,316 = 10,167.50 : x
  2. Step 2: Convert to fraction form
    17,619.50/24,316 = 10,167.50/x
  3. Step 3: Cross multiply
    17,619.50x = 24,316 × 10,167.50
  4. Step 4: Simplify right side
    17,619.50x = 247,232,930
  5. Step 5: Solve for x
    x = 247,232,930/17,619.50
  6. Step 6: Final answer
    x = 14,031.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.