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Finding the Fourth Proportional to 25,838.34, 35,657.58 and 14,508.73

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Solution

The fourth proportional to 25,838.34, 35,657.58 and 14,508.73 is: 20,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.34 : 35,657.58 = 14,508.73 : x
  2. Step 2: Convert to fraction form
    25,838.34/35,657.58 = 14,508.73/x
  3. Step 3: Cross multiply
    25,838.34x = 35,657.58 × 14,508.73
  4. Step 4: Simplify right side
    25,838.34x = 517,346,200.67
  5. Step 5: Solve for x
    x = 517,346,200.67/25,838.34
  6. Step 6: Final answer
    x = 20,022.42

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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.