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Finding the Fourth Proportional to 14,292.90, 19,724.16 and 8,243.12

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Solution

The fourth proportional to 14,292.90, 19,724.16 and 8,243.12 is: 11,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.90 : 19,724.16 = 8,243.12 : x
  2. Step 2: Convert to fraction form
    14,292.90/19,724.16 = 8,243.12/x
  3. Step 3: Cross multiply
    14,292.90x = 19,724.16 × 8,243.12
  4. Step 4: Simplify right side
    14,292.90x = 162,588,519.16
  5. Step 5: Solve for x
    x = 162,588,519.16/14,292.90
  6. Step 6: Final answer
    x = 11,375.47

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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.