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Finding the Fourth Proportional to 15,772.84, 21,765.06 and 11,583.40

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Solution

The fourth proportional to 15,772.84, 21,765.06 and 11,583.40 is: 15,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.84 : 21,765.06 = 11,583.40 : x
  2. Step 2: Convert to fraction form
    15,772.84/21,765.06 = 11,583.40/x
  3. Step 3: Cross multiply
    15,772.84x = 21,765.06 × 11,583.40
  4. Step 4: Simplify right side
    15,772.84x = 252,113,396.00
  5. Step 5: Solve for x
    x = 252,113,396.00/15,772.84
  6. Step 6: Final answer
    x = 15,984.02

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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.