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Finding the Fourth Proportional to 26,414.64, 36,452.10 and 14,478.48

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Solution

The fourth proportional to 26,414.64, 36,452.10 and 14,478.48 is: 19,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414.64 : 36,452.10 = 14,478.48 : x
  2. Step 2: Convert to fraction form
    26,414.64/36,452.10 = 14,478.48/x
  3. Step 3: Cross multiply
    26,414.64x = 36,452.10 × 14,478.48
  4. Step 4: Simplify right side
    26,414.64x = 527,771,000.81
  5. Step 5: Solve for x
    x = 527,771,000.81/26,414.64
  6. Step 6: Final answer
    x = 19,980.25

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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.