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Finding the Fourth Proportional to 17,002.68, 25,465.14 and 10,762.44

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Solution

The fourth proportional to 17,002.68, 25,465.14 and 10,762.44 is: 16,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.68 : 25,465.14 = 10,762.44 : x
  2. Step 2: Convert to fraction form
    17,002.68/25,465.14 = 10,762.44/x
  3. Step 3: Cross multiply
    17,002.68x = 25,465.14 × 10,762.44
  4. Step 4: Simplify right side
    17,002.68x = 274,067,041.34
  5. Step 5: Solve for x
    x = 274,067,041.34/17,002.68
  6. Step 6: Final answer
    x = 16,119.05

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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.