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Finding the Fourth Proportional to 25,837.74, 35,647.16 and 14,505.66

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Solution

The fourth proportional to 25,837.74, 35,647.16 and 14,505.66 is: 20,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.74 : 35,647.16 = 14,505.66 : x
  2. Step 2: Convert to fraction form
    25,837.74/35,647.16 = 14,505.66/x
  3. Step 3: Cross multiply
    25,837.74x = 35,647.16 × 14,505.66
  4. Step 4: Simplify right side
    25,837.74x = 517,085,510.40
  5. Step 5: Solve for x
    x = 517,085,510.40/25,837.74
  6. Step 6: Final answer
    x = 20,012.80

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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.