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Finding the Fourth Proportional to 14,306.37, 21,459.56 and 4,443

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Solution

The fourth proportional to 14,306.37, 21,459.56 and 4,443 is: 6,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.37 : 21,459.56 = 4,443 : x
  2. Step 2: Convert to fraction form
    14,306.37/21,459.56 = 4,443/x
  3. Step 3: Cross multiply
    14,306.37x = 21,459.56 × 4,443
  4. Step 4: Simplify right side
    14,306.37x = 95,344,802.87
  5. Step 5: Solve for x
    x = 95,344,802.87/14,306.37
  6. Step 6: Final answer
    x = 6,664.50

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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.