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Finding the Fourth Proportional to 15,857.60, 23,784.66 and 6,374

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Solution

The fourth proportional to 15,857.60, 23,784.66 and 6,374 is: 9,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.60 : 23,784.66 = 6,374 : x
  2. Step 2: Convert to fraction form
    15,857.60/23,784.66 = 6,374/x
  3. Step 3: Cross multiply
    15,857.60x = 23,784.66 × 6,374
  4. Step 4: Simplify right side
    15,857.60x = 151,603,422.84
  5. Step 5: Solve for x
    x = 151,603,422.84/15,857.60
  6. Step 6: Final answer
    x = 9,560.30

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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.