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Finding the Fourth Proportional to 25,533.92, 35,234.75 and 14,202.51

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Solution

The fourth proportional to 25,533.92, 35,234.75 and 14,202.51 is: 19,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.92 : 35,234.75 = 14,202.51 : x
  2. Step 2: Convert to fraction form
    25,533.92/35,234.75 = 14,202.51/x
  3. Step 3: Cross multiply
    25,533.92x = 35,234.75 × 14,202.51
  4. Step 4: Simplify right side
    25,533.92x = 500,421,818.21
  5. Step 5: Solve for x
    x = 500,421,818.21/25,533.92
  6. Step 6: Final answer
    x = 19,598.32

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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.