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Finding the Fourth Proportional to 25,243.71, 37,866.65 and 9,447.27

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Solution

The fourth proportional to 25,243.71, 37,866.65 and 9,447.27 is: 14,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.71 : 37,866.65 = 9,447.27 : x
  2. Step 2: Convert to fraction form
    25,243.71/37,866.65 = 9,447.27/x
  3. Step 3: Cross multiply
    25,243.71x = 37,866.65 × 9,447.27
  4. Step 4: Simplify right side
    25,243.71x = 357,736,419.31
  5. Step 5: Solve for x
    x = 357,736,419.31/25,243.71
  6. Step 6: Final answer
    x = 14,171.31

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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.