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Finding the Fourth Proportional to 27,435.25, 37,860.66 and 14,860

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Solution

The fourth proportional to 27,435.25, 37,860.66 and 14,860 is: 20,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435.25 : 37,860.66 = 14,860 : x
  2. Step 2: Convert to fraction form
    27,435.25/37,860.66 = 14,860/x
  3. Step 3: Cross multiply
    27,435.25x = 37,860.66 × 14,860
  4. Step 4: Simplify right side
    27,435.25x = 562,609,407.60
  5. Step 5: Solve for x
    x = 562,609,407.60/27,435.25
  6. Step 6: Final answer
    x = 20,506.81

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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.