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Finding the Fourth Proportional to 26,164.88, 36,098.70 and 14,833.16

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Solution

The fourth proportional to 26,164.88, 36,098.70 and 14,833.16 is: 20,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.88 : 36,098.70 = 14,833.16 : x
  2. Step 2: Convert to fraction form
    26,164.88/36,098.70 = 14,833.16/x
  3. Step 3: Cross multiply
    26,164.88x = 36,098.70 × 14,833.16
  4. Step 4: Simplify right side
    26,164.88x = 535,457,792.89
  5. Step 5: Solve for x
    x = 535,457,792.89/26,164.88
  6. Step 6: Final answer
    x = 20,464.75

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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.