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Finding the Fourth Proportional to 25,982.46, 35,853.66 and 14,654.74

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Solution

The fourth proportional to 25,982.46, 35,853.66 and 14,654.74 is: 20,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.46 : 35,853.66 = 14,654.74 : x
  2. Step 2: Convert to fraction form
    25,982.46/35,853.66 = 14,654.74/x
  3. Step 3: Cross multiply
    25,982.46x = 35,853.66 × 14,654.74
  4. Step 4: Simplify right side
    25,982.46x = 525,426,065.35
  5. Step 5: Solve for x
    x = 525,426,065.35/25,982.46
  6. Step 6: Final answer
    x = 20,222.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.