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Finding the Fourth Proportional to 25,188.29, 37,782.47 and 9,393.08

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Solution

The fourth proportional to 25,188.29, 37,782.47 and 9,393.08 is: 14,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.29 : 37,782.47 = 9,393.08 : x
  2. Step 2: Convert to fraction form
    25,188.29/37,782.47 = 9,393.08/x
  3. Step 3: Cross multiply
    25,188.29x = 37,782.47 × 9,393.08
  4. Step 4: Simplify right side
    25,188.29x = 354,893,527.43
  5. Step 5: Solve for x
    x = 354,893,527.43/25,188.29
  6. Step 6: Final answer
    x = 14,089.63

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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.