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Finding the Fourth Proportional to 25,130.74, 37,697.40 and 6,410.94

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Solution

The fourth proportional to 25,130.74, 37,697.40 and 6,410.94 is: 9,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,130.74 : 37,697.40 = 6,410.94 : x
  2. Step 2: Convert to fraction form
    25,130.74/37,697.40 = 6,410.94/x
  3. Step 3: Cross multiply
    25,130.74x = 37,697.40 × 6,410.94
  4. Step 4: Simplify right side
    25,130.74x = 241,675,581.07
  5. Step 5: Solve for x
    x = 241,675,581.07/25,130.74
  6. Step 6: Final answer
    x = 9,616.73

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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.