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Finding the Fourth Proportional to 17,740.92, 24,478.56 and 10,186.68

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Solution

The fourth proportional to 17,740.92, 24,478.56 and 10,186.68 is: 14,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.92 : 24,478.56 = 10,186.68 : x
  2. Step 2: Convert to fraction form
    17,740.92/24,478.56 = 10,186.68/x
  3. Step 3: Cross multiply
    17,740.92x = 24,478.56 × 10,186.68
  4. Step 4: Simplify right side
    17,740.92x = 249,355,257.58
  5. Step 5: Solve for x
    x = 249,355,257.58/17,740.92
  6. Step 6: Final answer
    x = 14,055.37

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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.