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Finding the Fourth Proportional to 25,837.21, 35,654.20 and 14,506.50

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Solution

The fourth proportional to 25,837.21, 35,654.20 and 14,506.50 is: 20,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.21 : 35,654.20 = 14,506.50 : x
  2. Step 2: Convert to fraction form
    25,837.21/35,654.20 = 14,506.50/x
  3. Step 3: Cross multiply
    25,837.21x = 35,654.20 × 14,506.50
  4. Step 4: Simplify right side
    25,837.21x = 517,217,579.77
  5. Step 5: Solve for x
    x = 517,217,579.77/25,837.21
  6. Step 6: Final answer
    x = 20,018.32

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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.