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Finding the Fourth Proportional to 15,076.53, 22,617.90 and 5,214.51

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Solution

The fourth proportional to 15,076.53, 22,617.90 and 5,214.51 is: 7,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.53 : 22,617.90 = 5,214.51 : x
  2. Step 2: Convert to fraction form
    15,076.53/22,617.90 = 5,214.51/x
  3. Step 3: Cross multiply
    15,076.53x = 22,617.90 × 5,214.51
  4. Step 4: Simplify right side
    15,076.53x = 117,941,265.73
  5. Step 5: Solve for x
    x = 117,941,265.73/15,076.53
  6. Step 6: Final answer
    x = 7,822.84

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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.