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Finding the Fourth Proportional to 14,614.49, 21,913.92 and 7,587.42

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Solution

The fourth proportional to 14,614.49, 21,913.92 and 7,587.42 is: 11,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.49 : 21,913.92 = 7,587.42 : x
  2. Step 2: Convert to fraction form
    14,614.49/21,913.92 = 7,587.42/x
  3. Step 3: Cross multiply
    14,614.49x = 21,913.92 × 7,587.42
  4. Step 4: Simplify right side
    14,614.49x = 166,270,114.89
  5. Step 5: Solve for x
    x = 166,270,114.89/14,614.49
  6. Step 6: Final answer
    x = 11,377.08

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