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Finding the Fourth Proportional to 25,347.70, 34,978.41 and 14,016.51

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Solution

The fourth proportional to 25,347.70, 34,978.41 and 14,016.51 is: 19,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347.70 : 34,978.41 = 14,016.51 : x
  2. Step 2: Convert to fraction form
    25,347.70/34,978.41 = 14,016.51/x
  3. Step 3: Cross multiply
    25,347.70x = 34,978.41 × 14,016.51
  4. Step 4: Simplify right side
    25,347.70x = 490,275,233.55
  5. Step 5: Solve for x
    x = 490,275,233.55/25,347.70
  6. Step 6: Final answer
    x = 19,342.00

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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.