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Finding the Fourth Proportional to 26,357.84, 36,373.50 and 14,421.02

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Solution

The fourth proportional to 26,357.84, 36,373.50 and 14,421.02 is: 19,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,357.84 : 36,373.50 = 14,421.02 : x
  2. Step 2: Convert to fraction form
    26,357.84/36,373.50 = 14,421.02/x
  3. Step 3: Cross multiply
    26,357.84x = 36,373.50 × 14,421.02
  4. Step 4: Simplify right side
    26,357.84x = 524,542,970.97
  5. Step 5: Solve for x
    x = 524,542,970.97/26,357.84
  6. Step 6: Final answer
    x = 19,900.83

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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.