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Finding the Fourth Proportional to 25,485.32, 38,216.48 and 7,709.13

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Solution

The fourth proportional to 25,485.32, 38,216.48 and 7,709.13 is: 11,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,485.32 : 38,216.48 = 7,709.13 : x
  2. Step 2: Convert to fraction form
    25,485.32/38,216.48 = 7,709.13/x
  3. Step 3: Cross multiply
    25,485.32x = 38,216.48 × 7,709.13
  4. Step 4: Simplify right side
    25,485.32x = 294,615,773.92
  5. Step 5: Solve for x
    x = 294,615,773.92/25,485.32
  6. Step 6: Final answer
    x = 11,560.21

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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.