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Finding the Fourth Proportional to 17,880.53, 24,675.17 and 9,922.77

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Solution

The fourth proportional to 17,880.53, 24,675.17 and 9,922.77 is: 13,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.53 : 24,675.17 = 9,922.77 : x
  2. Step 2: Convert to fraction form
    17,880.53/24,675.17 = 9,922.77/x
  3. Step 3: Cross multiply
    17,880.53x = 24,675.17 × 9,922.77
  4. Step 4: Simplify right side
    17,880.53x = 244,846,036.62
  5. Step 5: Solve for x
    x = 244,846,036.62/17,880.53
  6. Step 6: Final answer
    x = 13,693.44

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1.5x scale

Why These Related Problems?

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