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Finding the Fourth Proportional to 15,744.84, 23,606.56 and 7,837.32

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Solution

The fourth proportional to 15,744.84, 23,606.56 and 7,837.32 is: 11,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.84 : 23,606.56 = 7,837.32 : x
  2. Step 2: Convert to fraction form
    15,744.84/23,606.56 = 7,837.32/x
  3. Step 3: Cross multiply
    15,744.84x = 23,606.56 × 7,837.32
  4. Step 4: Simplify right side
    15,744.84x = 185,012,164.82
  5. Step 5: Solve for x
    x = 185,012,164.82/15,744.84
  6. Step 6: Final answer
    x = 11,750.65

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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.