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Finding the Fourth Proportional to 25,406.16, 35,065.40 and 14,657.97

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Solution

The fourth proportional to 25,406.16, 35,065.40 and 14,657.97 is: 20,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.16 : 35,065.40 = 14,657.97 : x
  2. Step 2: Convert to fraction form
    25,406.16/35,065.40 = 14,657.97/x
  3. Step 3: Cross multiply
    25,406.16x = 35,065.40 × 14,657.97
  4. Step 4: Simplify right side
    25,406.16x = 513,987,705.55
  5. Step 5: Solve for x
    x = 513,987,705.55/25,406.16
  6. Step 6: Final answer
    x = 20,230.83

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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.