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Finding the Fourth Proportional to 25,623.84, 38,437.92 and 8,093.28

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Solution

The fourth proportional to 25,623.84, 38,437.92 and 8,093.28 is: 12,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623.84 : 38,437.92 = 8,093.28 : x
  2. Step 2: Convert to fraction form
    25,623.84/38,437.92 = 8,093.28/x
  3. Step 3: Cross multiply
    25,623.84x = 38,437.92 × 8,093.28
  4. Step 4: Simplify right side
    25,623.84x = 311,088,849.18
  5. Step 5: Solve for x
    x = 311,088,849.18/25,623.84
  6. Step 6: Final answer
    x = 12,140.60

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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.