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Finding the Fourth Proportional to 14,471.96, 19,973.87 and 8,503.63

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Solution

The fourth proportional to 14,471.96, 19,973.87 and 8,503.63 is: 11,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.96 : 19,973.87 = 8,503.63 : x
  2. Step 2: Convert to fraction form
    14,471.96/19,973.87 = 8,503.63/x
  3. Step 3: Cross multiply
    14,471.96x = 19,973.87 × 8,503.63
  4. Step 4: Simplify right side
    14,471.96x = 169,850,400.15
  5. Step 5: Solve for x
    x = 169,850,400.15/14,471.96
  6. Step 6: Final answer
    x = 11,736.52

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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.