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Finding the Fourth Proportional to 14,351, 21,526.86 and 5,117

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Solution

The fourth proportional to 14,351, 21,526.86 and 5,117 is: 7,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351 : 21,526.86 = 5,117 : x
  2. Step 2: Convert to fraction form
    14,351/21,526.86 = 5,117/x
  3. Step 3: Cross multiply
    14,351x = 21,526.86 × 5,117
  4. Step 4: Simplify right side
    14,351x = 110,152,942.62
  5. Step 5: Solve for x
    x = 110,152,942.62/14,351
  6. Step 6: Final answer
    x = 7,675.63

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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.