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Finding the Fourth Proportional to 25,876.49, 38,822.93 and 9,236.15

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Solution

The fourth proportional to 25,876.49, 38,822.93 and 9,236.15 is: 13,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.49 : 38,822.93 = 9,236.15 : x
  2. Step 2: Convert to fraction form
    25,876.49/38,822.93 = 9,236.15/x
  3. Step 3: Cross multiply
    25,876.49x = 38,822.93 × 9,236.15
  4. Step 4: Simplify right side
    25,876.49x = 358,574,284.77
  5. Step 5: Solve for x
    x = 358,574,284.77/25,876.49
  6. Step 6: Final answer
    x = 13,857.15

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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.