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Finding the Fourth Proportional to 15,864.64, 23,796 and 4,177.84

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Solution

The fourth proportional to 15,864.64, 23,796 and 4,177.84 is: 6,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.64 : 23,796 = 4,177.84 : x
  2. Step 2: Convert to fraction form
    15,864.64/23,796 = 4,177.84/x
  3. Step 3: Cross multiply
    15,864.64x = 23,796 × 4,177.84
  4. Step 4: Simplify right side
    15,864.64x = 99,415,880.64
  5. Step 5: Solve for x
    x = 99,415,880.64/15,864.64
  6. Step 6: Final answer
    x = 6,266.51

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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.