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Finding the Fourth Proportional to 14,167.64, 21,252.23 and 4,306.18

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Solution

The fourth proportional to 14,167.64, 21,252.23 and 4,306.18 is: 6,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.64 : 21,252.23 = 4,306.18 : x
  2. Step 2: Convert to fraction form
    14,167.64/21,252.23 = 4,306.18/x
  3. Step 3: Cross multiply
    14,167.64x = 21,252.23 × 4,306.18
  4. Step 4: Simplify right side
    14,167.64x = 91,515,853.12
  5. Step 5: Solve for x
    x = 91,515,853.12/14,167.64
  6. Step 6: Final answer
    x = 6,459.50

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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.