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Finding the Fourth Proportional to 14,306.52, 21,461 and 3,918.28

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Solution

The fourth proportional to 14,306.52, 21,461 and 3,918.28 is: 5,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.52 : 21,461 = 3,918.28 : x
  2. Step 2: Convert to fraction form
    14,306.52/21,461 = 3,918.28/x
  3. Step 3: Cross multiply
    14,306.52x = 21,461 × 3,918.28
  4. Step 4: Simplify right side
    14,306.52x = 84,090,207.08
  5. Step 5: Solve for x
    x = 84,090,207.08/14,306.52
  6. Step 6: Final answer
    x = 5,877.75

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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.