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Finding the Fourth Proportional to 25,280.82, 37,924.16 and 8,415.36

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Solution

The fourth proportional to 25,280.82, 37,924.16 and 8,415.36 is: 12,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.82 : 37,924.16 = 8,415.36 : x
  2. Step 2: Convert to fraction form
    25,280.82/37,924.16 = 8,415.36/x
  3. Step 3: Cross multiply
    25,280.82x = 37,924.16 × 8,415.36
  4. Step 4: Simplify right side
    25,280.82x = 319,145,417.02
  5. Step 5: Solve for x
    x = 319,145,417.02/25,280.82
  6. Step 6: Final answer
    x = 12,624.01

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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.