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Finding the Fourth Proportional to 25,099.71, 37,653.06 and 8,464.50

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Solution

The fourth proportional to 25,099.71, 37,653.06 and 8,464.50 is: 12,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099.71 : 37,653.06 = 8,464.50 : x
  2. Step 2: Convert to fraction form
    25,099.71/37,653.06 = 8,464.50/x
  3. Step 3: Cross multiply
    25,099.71x = 37,653.06 × 8,464.50
  4. Step 4: Simplify right side
    25,099.71x = 318,714,326.37
  5. Step 5: Solve for x
    x = 318,714,326.37/25,099.71
  6. Step 6: Final answer
    x = 12,697.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.