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Finding the Fourth Proportional to 25,648.84, 38,470.08 and 6,930.40

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Solution

The fourth proportional to 25,648.84, 38,470.08 and 6,930.40 is: 10,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.84 : 38,470.08 = 6,930.40 : x
  2. Step 2: Convert to fraction form
    25,648.84/38,470.08 = 6,930.40/x
  3. Step 3: Cross multiply
    25,648.84x = 38,470.08 × 6,930.40
  4. Step 4: Simplify right side
    25,648.84x = 266,613,042.43
  5. Step 5: Solve for x
    x = 266,613,042.43/25,648.84
  6. Step 6: Final answer
    x = 10,394.74

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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.