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Finding the Fourth Proportional to 14,654.68, 21,977.04 and 4,791.52

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Solution

The fourth proportional to 14,654.68, 21,977.04 and 4,791.52 is: 7,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.68 : 21,977.04 = 4,791.52 : x
  2. Step 2: Convert to fraction form
    14,654.68/21,977.04 = 4,791.52/x
  3. Step 3: Cross multiply
    14,654.68x = 21,977.04 × 4,791.52
  4. Step 4: Simplify right side
    14,654.68x = 105,303,426.70
  5. Step 5: Solve for x
    x = 105,303,426.70/14,654.68
  6. Step 6: Final answer
    x = 7,185.65

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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.