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Finding the Fourth Proportional to 14,468.90, 19,967.24 and 8,500.82

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Solution

The fourth proportional to 14,468.90, 19,967.24 and 8,500.82 is: 11,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.90 : 19,967.24 = 8,500.82 : x
  2. Step 2: Convert to fraction form
    14,468.90/19,967.24 = 8,500.82/x
  3. Step 3: Cross multiply
    14,468.90x = 19,967.24 × 8,500.82
  4. Step 4: Simplify right side
    14,468.90x = 169,737,870.63
  5. Step 5: Solve for x
    x = 169,737,870.63/14,468.90
  6. Step 6: Final answer
    x = 11,731.22

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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.