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Finding the Fourth Proportional to 25,221.72, 34,804.62 and 14,043

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Solution

The fourth proportional to 25,221.72, 34,804.62 and 14,043 is: 19,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221.72 : 34,804.62 = 14,043 : x
  2. Step 2: Convert to fraction form
    25,221.72/34,804.62 = 14,043/x
  3. Step 3: Cross multiply
    25,221.72x = 34,804.62 × 14,043
  4. Step 4: Simplify right side
    25,221.72x = 488,761,278.66
  5. Step 5: Solve for x
    x = 488,761,278.66/25,221.72
  6. Step 6: Final answer
    x = 19,378.59

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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.