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Finding the Fourth Proportional to 25,570.96, 35,285.42 and 14,240.03

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Solution

The fourth proportional to 25,570.96, 35,285.42 and 14,240.03 is: 19,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.96 : 35,285.42 = 14,240.03 : x
  2. Step 2: Convert to fraction form
    25,570.96/35,285.42 = 14,240.03/x
  3. Step 3: Cross multiply
    25,570.96x = 35,285.42 × 14,240.03
  4. Step 4: Simplify right side
    25,570.96x = 502,465,298.54
  5. Step 5: Solve for x
    x = 502,465,298.54/25,570.96
  6. Step 6: Final answer
    x = 19,649.84

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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.