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Finding the Fourth Proportional to 14,513.16, 21,773.70 and 4,125

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Solution

The fourth proportional to 14,513.16, 21,773.70 and 4,125 is: 6,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.16 : 21,773.70 = 4,125 : x
  2. Step 2: Convert to fraction form
    14,513.16/21,773.70 = 4,125/x
  3. Step 3: Cross multiply
    14,513.16x = 21,773.70 × 4,125
  4. Step 4: Simplify right side
    14,513.16x = 89,816,512.50
  5. Step 5: Solve for x
    x = 89,816,512.50/14,513.16
  6. Step 6: Final answer
    x = 6,188.63

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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.