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Finding the Fourth Proportional to 26,096, 36,011.43 and 14,158.88

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Solution

The fourth proportional to 26,096, 36,011.43 and 14,158.88 is: 19,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096 : 36,011.43 = 14,158.88 : x
  2. Step 2: Convert to fraction form
    26,096/36,011.43 = 14,158.88/x
  3. Step 3: Cross multiply
    26,096x = 36,011.43 × 14,158.88
  4. Step 4: Simplify right side
    26,096x = 509,881,516.00
  5. Step 5: Solve for x
    x = 509,881,516.00/26,096
  6. Step 6: Final answer
    x = 19,538.68

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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.