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Finding the Fourth Proportional to 25,493.34, 35,181.27 and 14,315.74

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Solution

The fourth proportional to 25,493.34, 35,181.27 and 14,315.74 is: 19,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.34 : 35,181.27 = 14,315.74 : x
  2. Step 2: Convert to fraction form
    25,493.34/35,181.27 = 14,315.74/x
  3. Step 3: Cross multiply
    25,493.34x = 35,181.27 × 14,315.74
  4. Step 4: Simplify right side
    25,493.34x = 503,645,914.19
  5. Step 5: Solve for x
    x = 503,645,914.19/25,493.34
  6. Step 6: Final answer
    x = 19,755.98

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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.