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Finding the Fourth Proportional to 13,967.81, 20,947.25 and 4,606.08

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Solution

The fourth proportional to 13,967.81, 20,947.25 and 4,606.08 is: 6,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.81 : 20,947.25 = 4,606.08 : x
  2. Step 2: Convert to fraction form
    13,967.81/20,947.25 = 4,606.08/x
  3. Step 3: Cross multiply
    13,967.81x = 20,947.25 × 4,606.08
  4. Step 4: Simplify right side
    13,967.81x = 96,484,642.24
  5. Step 5: Solve for x
    x = 96,484,642.24/13,967.81
  6. Step 6: Final answer
    x = 6,907.64

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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.