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Finding the Fourth Proportional to 25,839.35, 35,657.84 and 14,508.93

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Solution

The fourth proportional to 25,839.35, 35,657.84 and 14,508.93 is: 20,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839.35 : 35,657.84 = 14,508.93 : x
  2. Step 2: Convert to fraction form
    25,839.35/35,657.84 = 14,508.93/x
  3. Step 3: Cross multiply
    25,839.35x = 35,657.84 × 14,508.93
  4. Step 4: Simplify right side
    25,839.35x = 517,357,140.78
  5. Step 5: Solve for x
    x = 517,357,140.78/25,839.35
  6. Step 6: Final answer
    x = 20,022.07

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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.