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Finding the Fourth Proportional to 25,207.27, 37,799.96 and 7,673.00

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Solution

The fourth proportional to 25,207.27, 37,799.96 and 7,673.00 is: 11,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207.27 : 37,799.96 = 7,673.00 : x
  2. Step 2: Convert to fraction form
    25,207.27/37,799.96 = 7,673.00/x
  3. Step 3: Cross multiply
    25,207.27x = 37,799.96 × 7,673.00
  4. Step 4: Simplify right side
    25,207.27x = 290,038,865.72
  5. Step 5: Solve for x
    x = 290,038,865.72/25,207.27
  6. Step 6: Final answer
    x = 11,506.16

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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.