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Finding the Fourth Proportional to 25,402.75, 35,055.90 and 14,072.00

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Solution

The fourth proportional to 25,402.75, 35,055.90 and 14,072.00 is: 19,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.75 : 35,055.90 = 14,072.00 : x
  2. Step 2: Convert to fraction form
    25,402.75/35,055.90 = 14,072.00/x
  3. Step 3: Cross multiply
    25,402.75x = 35,055.90 × 14,072.00
  4. Step 4: Simplify right side
    25,402.75x = 493,306,449.52
  5. Step 5: Solve for x
    x = 493,306,449.52/25,402.75
  6. Step 6: Final answer
    x = 19,419.41

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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.