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Finding the Fourth Proportional to 26,502.64, 36,575.98 and 14,568.30

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Solution

The fourth proportional to 26,502.64, 36,575.98 and 14,568.30 is: 20,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.64 : 36,575.98 = 14,568.30 : x
  2. Step 2: Convert to fraction form
    26,502.64/36,575.98 = 14,568.30/x
  3. Step 3: Cross multiply
    26,502.64x = 36,575.98 × 14,568.30
  4. Step 4: Simplify right side
    26,502.64x = 532,849,813.01
  5. Step 5: Solve for x
    x = 532,849,813.01/26,502.64
  6. Step 6: Final answer
    x = 20,105.54

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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.