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Finding the Fourth Proportional to 17,880.77, 24,658.32 and 10,709.54

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Solution

The fourth proportional to 17,880.77, 24,658.32 and 10,709.54 is: 14,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.77 : 24,658.32 = 10,709.54 : x
  2. Step 2: Convert to fraction form
    17,880.77/24,658.32 = 10,709.54/x
  3. Step 3: Cross multiply
    17,880.77x = 24,658.32 × 10,709.54
  4. Step 4: Simplify right side
    17,880.77x = 264,079,264.37
  5. Step 5: Solve for x
    x = 264,079,264.37/17,880.77
  6. Step 6: Final answer
    x = 14,768.90

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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.