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Finding the Fourth Proportional to 17,854.88, 26,783.55 and 7,466.63

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Solution

The fourth proportional to 17,854.88, 26,783.55 and 7,466.63 is: 11,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.88 : 26,783.55 = 7,466.63 : x
  2. Step 2: Convert to fraction form
    17,854.88/26,783.55 = 7,466.63/x
  3. Step 3: Cross multiply
    17,854.88x = 26,783.55 × 7,466.63
  4. Step 4: Simplify right side
    17,854.88x = 199,982,724.02
  5. Step 5: Solve for x
    x = 199,982,724.02/17,854.88
  6. Step 6: Final answer
    x = 11,200.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.