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Finding the Fourth Proportional to 25,818.24, 35,628.48 and 14,640

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Solution

The fourth proportional to 25,818.24, 35,628.48 and 14,640 is: 20,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,818.24 : 35,628.48 = 14,640 : x
  2. Step 2: Convert to fraction form
    25,818.24/35,628.48 = 14,640/x
  3. Step 3: Cross multiply
    25,818.24x = 35,628.48 × 14,640
  4. Step 4: Simplify right side
    25,818.24x = 521,600,947.20
  5. Step 5: Solve for x
    x = 521,600,947.20/25,818.24
  6. Step 6: Final answer
    x = 20,202.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.