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Finding the Fourth Proportional to 14,538, 21,809.82 and 4,677.42

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Solution

The fourth proportional to 14,538, 21,809.82 and 4,677.42 is: 7,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538 : 21,809.82 = 4,677.42 : x
  2. Step 2: Convert to fraction form
    14,538/21,809.82 = 4,677.42/x
  3. Step 3: Cross multiply
    14,538x = 21,809.82 × 4,677.42
  4. Step 4: Simplify right side
    14,538x = 102,013,688.26
  5. Step 5: Solve for x
    x = 102,013,688.26/14,538
  6. Step 6: Final answer
    x = 7,017.04

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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.