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Finding the Fourth Proportional to 25,988.96, 35,827.44 and 18,524

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Solution

The fourth proportional to 25,988.96, 35,827.44 and 18,524 is: 25,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.96 : 35,827.44 = 18,524 : x
  2. Step 2: Convert to fraction form
    25,988.96/35,827.44 = 18,524/x
  3. Step 3: Cross multiply
    25,988.96x = 35,827.44 × 18,524
  4. Step 4: Simplify right side
    25,988.96x = 663,667,498.56
  5. Step 5: Solve for x
    x = 663,667,498.56/25,988.96
  6. Step 6: Final answer
    x = 25,536.52

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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.