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Finding the Fourth Proportional to 25,152.64, 37,671.44 and 12,014.24

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Solution

The fourth proportional to 25,152.64, 37,671.44 and 12,014.24 is: 17,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.64 : 37,671.44 = 12,014.24 : x
  2. Step 2: Convert to fraction form
    25,152.64/37,671.44 = 12,014.24/x
  3. Step 3: Cross multiply
    25,152.64x = 37,671.44 × 12,014.24
  4. Step 4: Simplify right side
    25,152.64x = 452,593,721.31
  5. Step 5: Solve for x
    x = 452,593,721.31/25,152.64
  6. Step 6: Final answer
    x = 17,993.89

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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.