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Finding the Fourth Proportional to 14,365.17, 19,825.74 and 8,077.50

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Solution

The fourth proportional to 14,365.17, 19,825.74 and 8,077.50 is: 11,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.17 : 19,825.74 = 8,077.50 : x
  2. Step 2: Convert to fraction form
    14,365.17/19,825.74 = 8,077.50/x
  3. Step 3: Cross multiply
    14,365.17x = 19,825.74 × 8,077.50
  4. Step 4: Simplify right side
    14,365.17x = 160,142,414.85
  5. Step 5: Solve for x
    x = 160,142,414.85/14,365.17
  6. Step 6: Final answer
    x = 11,147.97

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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.