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Finding the Fourth Proportional to 13,412.81, 18,509.49 and 7,444.46

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Solution

The fourth proportional to 13,412.81, 18,509.49 and 7,444.46 is: 10,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.81 : 18,509.49 = 7,444.46 : x
  2. Step 2: Convert to fraction form
    13,412.81/18,509.49 = 7,444.46/x
  3. Step 3: Cross multiply
    13,412.81x = 18,509.49 × 7,444.46
  4. Step 4: Simplify right side
    13,412.81x = 137,793,065.38
  5. Step 5: Solve for x
    x = 137,793,065.38/13,412.81
  6. Step 6: Final answer
    x = 10,273.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.