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Finding the Fourth Proportional to 25,043.51, 37,584.31 and 9,263.47

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Solution

The fourth proportional to 25,043.51, 37,584.31 and 9,263.47 is: 13,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,043.51 : 37,584.31 = 9,263.47 : x
  2. Step 2: Convert to fraction form
    25,043.51/37,584.31 = 9,263.47/x
  3. Step 3: Cross multiply
    25,043.51x = 37,584.31 × 9,263.47
  4. Step 4: Simplify right side
    25,043.51x = 348,161,128.16
  5. Step 5: Solve for x
    x = 348,161,128.16/25,043.51
  6. Step 6: Final answer
    x = 13,902.25

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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.