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Finding the Fourth Proportional to 25,453.44, 38,177.28 and 6,984

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Solution

The fourth proportional to 25,453.44, 38,177.28 and 6,984 is: 10,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,453.44 : 38,177.28 = 6,984 : x
  2. Step 2: Convert to fraction form
    25,453.44/38,177.28 = 6,984/x
  3. Step 3: Cross multiply
    25,453.44x = 38,177.28 × 6,984
  4. Step 4: Simplify right side
    25,453.44x = 266,630,123.52
  5. Step 5: Solve for x
    x = 266,630,123.52/25,453.44
  6. Step 6: Final answer
    x = 10,475.21

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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.