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Finding the Fourth Proportional to 17,880.66, 24,675.32 and 9,922.88

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Solution

The fourth proportional to 17,880.66, 24,675.32 and 9,922.88 is: 13,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.66 : 24,675.32 = 9,922.88 : x
  2. Step 2: Convert to fraction form
    17,880.66/24,675.32 = 9,922.88/x
  3. Step 3: Cross multiply
    17,880.66x = 24,675.32 × 9,922.88
  4. Step 4: Simplify right side
    17,880.66x = 244,850,325.82
  5. Step 5: Solve for x
    x = 244,850,325.82/17,880.66
  6. Step 6: Final answer
    x = 13,693.58

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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.