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Finding the Fourth Proportional to 26,875.60, 37,082.30 and 16,265

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Solution

The fourth proportional to 26,875.60, 37,082.30 and 16,265 is: 22,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,875.60 : 37,082.30 = 16,265 : x
  2. Step 2: Convert to fraction form
    26,875.60/37,082.30 = 16,265/x
  3. Step 3: Cross multiply
    26,875.60x = 37,082.30 × 16,265
  4. Step 4: Simplify right side
    26,875.60x = 603,143,609.50
  5. Step 5: Solve for x
    x = 603,143,609.50/26,875.60
  6. Step 6: Final answer
    x = 22,442.05

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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.