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Finding the Fourth Proportional to 25,188.87, 37,798.16 and 9,405.21

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Solution

The fourth proportional to 25,188.87, 37,798.16 and 9,405.21 is: 14,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.87 : 37,798.16 = 9,405.21 : x
  2. Step 2: Convert to fraction form
    25,188.87/37,798.16 = 9,405.21/x
  3. Step 3: Cross multiply
    25,188.87x = 37,798.16 × 9,405.21
  4. Step 4: Simplify right side
    25,188.87x = 355,499,632.41
  5. Step 5: Solve for x
    x = 355,499,632.41/25,188.87
  6. Step 6: Final answer
    x = 14,113.36

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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.