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Finding the Fourth Proportional to 21,748.50, 30,012.93 and 12,317.67

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Solution

The fourth proportional to 21,748.50, 30,012.93 and 12,317.67 is: 16,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.50 : 30,012.93 = 12,317.67 : x
  2. Step 2: Convert to fraction form
    21,748.50/30,012.93 = 12,317.67/x
  3. Step 3: Cross multiply
    21,748.50x = 30,012.93 × 12,317.67
  4. Step 4: Simplify right side
    21,748.50x = 369,689,367.47
  5. Step 5: Solve for x
    x = 369,689,367.47/21,748.50
  6. Step 6: Final answer
    x = 16,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.