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Finding the Fourth Proportional to 15,957.14, 23,927.72 and 9,295.90

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Solution

The fourth proportional to 15,957.14, 23,927.72 and 9,295.90 is: 13,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.14 : 23,927.72 = 9,295.90 : x
  2. Step 2: Convert to fraction form
    15,957.14/23,927.72 = 9,295.90/x
  3. Step 3: Cross multiply
    15,957.14x = 23,927.72 × 9,295.90
  4. Step 4: Simplify right side
    15,957.14x = 222,429,692.35
  5. Step 5: Solve for x
    x = 222,429,692.35/15,957.14
  6. Step 6: Final answer
    x = 13,939.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.