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Finding the Fourth Proportional to 25,740.37, 38,610.15 and 8,210.08

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Solution

The fourth proportional to 25,740.37, 38,610.15 and 8,210.08 is: 12,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740.37 : 38,610.15 = 8,210.08 : x
  2. Step 2: Convert to fraction form
    25,740.37/38,610.15 = 8,210.08/x
  3. Step 3: Cross multiply
    25,740.37x = 38,610.15 × 8,210.08
  4. Step 4: Simplify right side
    25,740.37x = 316,992,420.31
  5. Step 5: Solve for x
    x = 316,992,420.31/25,740.37
  6. Step 6: Final answer
    x = 12,314.99

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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.