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Finding the Fourth Proportional to 25,215.30, 37,814.82 and 8,345.16

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Solution

The fourth proportional to 25,215.30, 37,814.82 and 8,345.16 is: 12,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,215.30 : 37,814.82 = 8,345.16 : x
  2. Step 2: Convert to fraction form
    25,215.30/37,814.82 = 8,345.16/x
  3. Step 3: Cross multiply
    25,215.30x = 37,814.82 × 8,345.16
  4. Step 4: Simplify right side
    25,215.30x = 315,570,723.27
  5. Step 5: Solve for x
    x = 315,570,723.27/25,215.30
  6. Step 6: Final answer
    x = 12,515.05

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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.