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Finding the Fourth Proportional to 25,478.18, 38,208.63 and 9,679.40

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Solution

The fourth proportional to 25,478.18, 38,208.63 and 9,679.40 is: 14,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.18 : 38,208.63 = 9,679.40 : x
  2. Step 2: Convert to fraction form
    25,478.18/38,208.63 = 9,679.40/x
  3. Step 3: Cross multiply
    25,478.18x = 38,208.63 × 9,679.40
  4. Step 4: Simplify right side
    25,478.18x = 369,836,613.22
  5. Step 5: Solve for x
    x = 369,836,613.22/25,478.18
  6. Step 6: Final answer
    x = 14,515.82

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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.