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Finding the Fourth Proportional to 25,705.47, 35,474.40 and 14,220.54

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Solution

The fourth proportional to 25,705.47, 35,474.40 and 14,220.54 is: 19,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.47 : 35,474.40 = 14,220.54 : x
  2. Step 2: Convert to fraction form
    25,705.47/35,474.40 = 14,220.54/x
  3. Step 3: Cross multiply
    25,705.47x = 35,474.40 × 14,220.54
  4. Step 4: Simplify right side
    25,705.47x = 504,465,124.18
  5. Step 5: Solve for x
    x = 504,465,124.18/25,705.47
  6. Step 6: Final answer
    x = 19,624.82

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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.