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Finding the Fourth Proportional to 25,740.54, 38,602.58 and 8,206.26

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Solution

The fourth proportional to 25,740.54, 38,602.58 and 8,206.26 is: 12,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740.54 : 38,602.58 = 8,206.26 : x
  2. Step 2: Convert to fraction form
    25,740.54/38,602.58 = 8,206.26/x
  3. Step 3: Cross multiply
    25,740.54x = 38,602.58 × 8,206.26
  4. Step 4: Simplify right side
    25,740.54x = 316,782,808.15
  5. Step 5: Solve for x
    x = 316,782,808.15/25,740.54
  6. Step 6: Final answer
    x = 12,306.77

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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.