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Finding the Fourth Proportional to 13,807.26, 20,713.32 and 5,054.40

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Solution

The fourth proportional to 13,807.26, 20,713.32 and 5,054.40 is: 7,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.26 : 20,713.32 = 5,054.40 : x
  2. Step 2: Convert to fraction form
    13,807.26/20,713.32 = 5,054.40/x
  3. Step 3: Cross multiply
    13,807.26x = 20,713.32 × 5,054.40
  4. Step 4: Simplify right side
    13,807.26x = 104,693,404.61
  5. Step 5: Solve for x
    x = 104,693,404.61/13,807.26
  6. Step 6: Final answer
    x = 7,582.49

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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.