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Finding the Fourth Proportional to 25,699.17, 38,525.34 and 9,894.09

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Solution

The fourth proportional to 25,699.17, 38,525.34 and 9,894.09 is: 14,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699.17 : 38,525.34 = 9,894.09 : x
  2. Step 2: Convert to fraction form
    25,699.17/38,525.34 = 9,894.09/x
  3. Step 3: Cross multiply
    25,699.17x = 38,525.34 × 9,894.09
  4. Step 4: Simplify right side
    25,699.17x = 381,173,181.24
  5. Step 5: Solve for x
    x = 381,173,181.24/25,699.17
  6. Step 6: Final answer
    x = 14,832.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.