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Finding the Fourth Proportional to 14,242.97, 19,653.89 and 8,274.89

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Solution

The fourth proportional to 14,242.97, 19,653.89 and 8,274.89 is: 11,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.97 : 19,653.89 = 8,274.89 : x
  2. Step 2: Convert to fraction form
    14,242.97/19,653.89 = 8,274.89/x
  3. Step 3: Cross multiply
    14,242.97x = 19,653.89 × 8,274.89
  4. Step 4: Simplify right side
    14,242.97x = 162,633,638.18
  5. Step 5: Solve for x
    x = 162,633,638.18/14,242.97
  6. Step 6: Final answer
    x = 11,418.52

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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.