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Finding the Fourth Proportional to 25,685.61, 38,525.32 and 6,964.48

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Solution

The fourth proportional to 25,685.61, 38,525.32 and 6,964.48 is: 10,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.61 : 38,525.32 = 6,964.48 : x
  2. Step 2: Convert to fraction form
    25,685.61/38,525.32 = 6,964.48/x
  3. Step 3: Cross multiply
    25,685.61x = 38,525.32 × 6,964.48
  4. Step 4: Simplify right side
    25,685.61x = 268,308,877.50
  5. Step 5: Solve for x
    x = 268,308,877.50/25,685.61
  6. Step 6: Final answer
    x = 10,445.88

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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.