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Finding the Fourth Proportional to 25,284.32, 37,914 and 7,749.92

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Solution

The fourth proportional to 25,284.32, 37,914 and 7,749.92 is: 11,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.32 : 37,914 = 7,749.92 : x
  2. Step 2: Convert to fraction form
    25,284.32/37,914 = 7,749.92/x
  3. Step 3: Cross multiply
    25,284.32x = 37,914 × 7,749.92
  4. Step 4: Simplify right side
    25,284.32x = 293,830,466.88
  5. Step 5: Solve for x
    x = 293,830,466.88/25,284.32
  6. Step 6: Final answer
    x = 11,621.05

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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.