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Finding the Fourth Proportional to 25,148.80, 37,713.60 and 7,612.80

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Solution

The fourth proportional to 25,148.80, 37,713.60 and 7,612.80 is: 11,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.80 : 37,713.60 = 7,612.80 : x
  2. Step 2: Convert to fraction form
    25,148.80/37,713.60 = 7,612.80/x
  3. Step 3: Cross multiply
    25,148.80x = 37,713.60 × 7,612.80
  4. Step 4: Simplify right side
    25,148.80x = 287,106,094.08
  5. Step 5: Solve for x
    x = 287,106,094.08/25,148.80
  6. Step 6: Final answer
    x = 11,416.29

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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.