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Finding the Fourth Proportional to 25,208.42, 37,814.57 and 6,488.64

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Solution

The fourth proportional to 25,208.42, 37,814.57 and 6,488.64 is: 9,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.42 : 37,814.57 = 6,488.64 : x
  2. Step 2: Convert to fraction form
    25,208.42/37,814.57 = 6,488.64/x
  3. Step 3: Cross multiply
    25,208.42x = 37,814.57 × 6,488.64
  4. Step 4: Simplify right side
    25,208.42x = 245,365,099.04
  5. Step 5: Solve for x
    x = 245,365,099.04/25,208.42
  6. Step 6: Final answer
    x = 9,733.46

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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.