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Finding the Fourth Proportional to 14,212.50, 21,312.12 and 4,849.98

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Solution

The fourth proportional to 14,212.50, 21,312.12 and 4,849.98 is: 7,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.50 : 21,312.12 = 4,849.98 : x
  2. Step 2: Convert to fraction form
    14,212.50/21,312.12 = 4,849.98/x
  3. Step 3: Cross multiply
    14,212.50x = 21,312.12 × 4,849.98
  4. Step 4: Simplify right side
    14,212.50x = 103,363,355.76
  5. Step 5: Solve for x
    x = 103,363,355.76/14,212.50
  6. Step 6: Final answer
    x = 7,272.71

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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.