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Finding the Fourth Proportional to 14,434.68, 21,654.87 and 5,075.69

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Solution

The fourth proportional to 14,434.68, 21,654.87 and 5,075.69 is: 7,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.68 : 21,654.87 = 5,075.69 : x
  2. Step 2: Convert to fraction form
    14,434.68/21,654.87 = 5,075.69/x
  3. Step 3: Cross multiply
    14,434.68x = 21,654.87 × 5,075.69
  4. Step 4: Simplify right side
    14,434.68x = 109,913,354.98
  5. Step 5: Solve for x
    x = 109,913,354.98/14,434.68
  6. Step 6: Final answer
    x = 7,614.53

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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.