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Finding the Fourth Proportional to 26,438.56, 36,486 and 14,502.64

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Solution

The fourth proportional to 26,438.56, 36,486 and 14,502.64 is: 20,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438.56 : 36,486 = 14,502.64 : x
  2. Step 2: Convert to fraction form
    26,438.56/36,486 = 14,502.64/x
  3. Step 3: Cross multiply
    26,438.56x = 36,486 × 14,502.64
  4. Step 4: Simplify right side
    26,438.56x = 529,143,323.04
  5. Step 5: Solve for x
    x = 529,143,323.04/26,438.56
  6. Step 6: Final answer
    x = 20,014.08

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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.