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Finding the Fourth Proportional to 15,857.34, 23,784.18 and 4,171.50

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Solution

The fourth proportional to 15,857.34, 23,784.18 and 4,171.50 is: 6,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.34 : 23,784.18 = 4,171.50 : x
  2. Step 2: Convert to fraction form
    15,857.34/23,784.18 = 4,171.50/x
  3. Step 3: Cross multiply
    15,857.34x = 23,784.18 × 4,171.50
  4. Step 4: Simplify right side
    15,857.34x = 99,215,706.87
  5. Step 5: Solve for x
    x = 99,215,706.87/15,857.34
  6. Step 6: Final answer
    x = 6,256.77

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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.