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Finding the Fourth Proportional to 25,509.83, 35,203.86 and 14,180.55

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Solution

The fourth proportional to 25,509.83, 35,203.86 and 14,180.55 is: 19,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.83 : 35,203.86 = 14,180.55 : x
  2. Step 2: Convert to fraction form
    25,509.83/35,203.86 = 14,180.55/x
  3. Step 3: Cross multiply
    25,509.83x = 35,203.86 × 14,180.55
  4. Step 4: Simplify right side
    25,509.83x = 499,210,096.92
  5. Step 5: Solve for x
    x = 499,210,096.92/25,509.83
  6. Step 6: Final answer
    x = 19,569.33

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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.