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Finding the Fourth Proportional to 14,468.50, 19,963.29 and 8,500.42

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Solution

The fourth proportional to 14,468.50, 19,963.29 and 8,500.42 is: 11,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.50 : 19,963.29 = 8,500.42 : x
  2. Step 2: Convert to fraction form
    14,468.50/19,963.29 = 8,500.42/x
  3. Step 3: Cross multiply
    14,468.50x = 19,963.29 × 8,500.42
  4. Step 4: Simplify right side
    14,468.50x = 169,696,349.58
  5. Step 5: Solve for x
    x = 169,696,349.58/14,468.50
  6. Step 6: Final answer
    x = 11,728.68

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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.