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Finding the Fourth Proportional to 14,302.50, 21,462.39 and 6,094.50

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Solution

The fourth proportional to 14,302.50, 21,462.39 and 6,094.50 is: 9,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.50 : 21,462.39 = 6,094.50 : x
  2. Step 2: Convert to fraction form
    14,302.50/21,462.39 = 6,094.50/x
  3. Step 3: Cross multiply
    14,302.50x = 21,462.39 × 6,094.50
  4. Step 4: Simplify right side
    14,302.50x = 130,802,535.86
  5. Step 5: Solve for x
    x = 130,802,535.86/14,302.50
  6. Step 6: Final answer
    x = 9,145.43

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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.