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Finding the Fourth Proportional to 25,673.16, 38,509.80 and 6,953.31

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Solution

The fourth proportional to 25,673.16, 38,509.80 and 6,953.31 is: 10,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.16 : 38,509.80 = 6,953.31 : x
  2. Step 2: Convert to fraction form
    25,673.16/38,509.80 = 6,953.31/x
  3. Step 3: Cross multiply
    25,673.16x = 38,509.80 × 6,953.31
  4. Step 4: Simplify right side
    25,673.16x = 267,770,577.44
  5. Step 5: Solve for x
    x = 267,770,577.44/25,673.16
  6. Step 6: Final answer
    x = 10,429.98

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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.