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Finding the Fourth Proportional to 21,014.50, 31,500.48 and 13,623.65

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Solution

The fourth proportional to 21,014.50, 31,500.48 and 13,623.65 is: 20,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.50 : 31,500.48 = 13,623.65 : x
  2. Step 2: Convert to fraction form
    21,014.50/31,500.48 = 13,623.65/x
  3. Step 3: Cross multiply
    21,014.50x = 31,500.48 × 13,623.65
  4. Step 4: Simplify right side
    21,014.50x = 429,151,514.35
  5. Step 5: Solve for x
    x = 429,151,514.35/21,014.50
  6. Step 6: Final answer
    x = 20,421.69

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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.