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Finding the Fourth Proportional to 14,646.42, 21,940.47 and 9,436.50

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Solution

The fourth proportional to 14,646.42, 21,940.47 and 9,436.50 is: 14,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.42 : 21,940.47 = 9,436.50 : x
  2. Step 2: Convert to fraction form
    14,646.42/21,940.47 = 9,436.50/x
  3. Step 3: Cross multiply
    14,646.42x = 21,940.47 × 9,436.50
  4. Step 4: Simplify right side
    14,646.42x = 207,041,245.16
  5. Step 5: Solve for x
    x = 207,041,245.16/14,646.42
  6. Step 6: Final answer
    x = 14,135.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.