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Finding the Fourth Proportional to 21,000.45, 31,500.68 and 14,347.65

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Solution

The fourth proportional to 21,000.45, 31,500.68 and 14,347.65 is: 21,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.45 : 31,500.68 = 14,347.65 : x
  2. Step 2: Convert to fraction form
    21,000.45/31,500.68 = 14,347.65/x
  3. Step 3: Cross multiply
    21,000.45x = 31,500.68 × 14,347.65
  4. Step 4: Simplify right side
    21,000.45x = 451,960,659.66
  5. Step 5: Solve for x
    x = 451,960,659.66/21,000.45
  6. Step 6: Final answer
    x = 21,521.48

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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.