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Finding the Fourth Proportional to 25,473.30, 38,197.66 and 10,678.25

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Solution

The fourth proportional to 25,473.30, 38,197.66 and 10,678.25 is: 16,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,473.30 : 38,197.66 = 10,678.25 : x
  2. Step 2: Convert to fraction form
    25,473.30/38,197.66 = 10,678.25/x
  3. Step 3: Cross multiply
    25,473.30x = 38,197.66 × 10,678.25
  4. Step 4: Simplify right side
    25,473.30x = 407,884,040.71
  5. Step 5: Solve for x
    x = 407,884,040.71/25,473.30
  6. Step 6: Final answer
    x = 16,012.22

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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.