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Finding the Fourth Proportional to 25,065.30, 37,598.00 and 10,271.57

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Solution

The fourth proportional to 25,065.30, 37,598.00 and 10,271.57 is: 15,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065.30 : 37,598.00 = 10,271.57 : x
  2. Step 2: Convert to fraction form
    25,065.30/37,598.00 = 10,271.57/x
  3. Step 3: Cross multiply
    25,065.30x = 37,598.00 × 10,271.57
  4. Step 4: Simplify right side
    25,065.30x = 386,190,249.51
  5. Step 5: Solve for x
    x = 386,190,249.51/25,065.30
  6. Step 6: Final answer
    x = 15,407.37

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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.