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Finding the Fourth Proportional to 25,235.68, 37,859.05 and 7,464.95

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Solution

The fourth proportional to 25,235.68, 37,859.05 and 7,464.95 is: 11,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.68 : 37,859.05 = 7,464.95 : x
  2. Step 2: Convert to fraction form
    25,235.68/37,859.05 = 7,464.95/x
  3. Step 3: Cross multiply
    25,235.68x = 37,859.05 × 7,464.95
  4. Step 4: Simplify right side
    25,235.68x = 282,615,915.30
  5. Step 5: Solve for x
    x = 282,615,915.30/25,235.68
  6. Step 6: Final answer
    x = 11,199.06

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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.