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Finding the Fourth Proportional to 14,350, 21,525.36 and 5,116

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Solution

The fourth proportional to 14,350, 21,525.36 and 5,116 is: 7,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350 : 21,525.36 = 5,116 : x
  2. Step 2: Convert to fraction form
    14,350/21,525.36 = 5,116/x
  3. Step 3: Cross multiply
    14,350x = 21,525.36 × 5,116
  4. Step 4: Simplify right side
    14,350x = 110,123,741.76
  5. Step 5: Solve for x
    x = 110,123,741.76/14,350
  6. Step 6: Final answer
    x = 7,674.13

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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.