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Finding the Fourth Proportional to 25,153.68, 37,738.56 and 7,623.60

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Solution

The fourth proportional to 25,153.68, 37,738.56 and 7,623.60 is: 11,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.68 : 37,738.56 = 7,623.60 : x
  2. Step 2: Convert to fraction form
    25,153.68/37,738.56 = 7,623.60/x
  3. Step 3: Cross multiply
    25,153.68x = 37,738.56 × 7,623.60
  4. Step 4: Simplify right side
    25,153.68x = 287,703,686.02
  5. Step 5: Solve for x
    x = 287,703,686.02/25,153.68
  6. Step 6: Final answer
    x = 11,437.84

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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.