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Finding the Fourth Proportional to 26,199, 39,298.49 and 6,477.93

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Solution

The fourth proportional to 26,199, 39,298.49 and 6,477.93 is: 9,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,199 : 39,298.49 = 6,477.93 : x
  2. Step 2: Convert to fraction form
    26,199/39,298.49 = 6,477.93/x
  3. Step 3: Cross multiply
    26,199x = 39,298.49 × 6,477.93
  4. Step 4: Simplify right side
    26,199x = 254,572,834.94
  5. Step 5: Solve for x
    x = 254,572,834.94/26,199
  6. Step 6: Final answer
    x = 9,716.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.