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Finding the Fourth Proportional to 13,810.50, 20,697.48 and 5,036.94

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Solution

The fourth proportional to 13,810.50, 20,697.48 and 5,036.94 is: 7,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 20,697.48 = 5,036.94 : x
  2. Step 2: Convert to fraction form
    13,810.50/20,697.48 = 5,036.94/x
  3. Step 3: Cross multiply
    13,810.50x = 20,697.48 × 5,036.94
  4. Step 4: Simplify right side
    13,810.50x = 104,251,964.91
  5. Step 5: Solve for x
    x = 104,251,964.91/13,810.50
  6. Step 6: Final answer
    x = 7,548.75

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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.