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Finding the Fourth Proportional to 17,744.96, 24,487.20 and 10,186

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Solution

The fourth proportional to 17,744.96, 24,487.20 and 10,186 is: 14,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.96 : 24,487.20 = 10,186 : x
  2. Step 2: Convert to fraction form
    17,744.96/24,487.20 = 10,186/x
  3. Step 3: Cross multiply
    17,744.96x = 24,487.20 × 10,186
  4. Step 4: Simplify right side
    17,744.96x = 249,426,619.20
  5. Step 5: Solve for x
    x = 249,426,619.20/17,744.96
  6. Step 6: Final answer
    x = 14,056.20

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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.