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Finding the Fourth Proportional to 23,658.67, 35,470.19 and 14,296.69

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Solution

The fourth proportional to 23,658.67, 35,470.19 and 14,296.69 is: 21,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.67 : 35,470.19 = 14,296.69 : x
  2. Step 2: Convert to fraction form
    23,658.67/35,470.19 = 14,296.69/x
  3. Step 3: Cross multiply
    23,658.67x = 35,470.19 × 14,296.69
  4. Step 4: Simplify right side
    23,658.67x = 507,106,239.19
  5. Step 5: Solve for x
    x = 507,106,239.19/23,658.67
  6. Step 6: Final answer
    x = 21,434.27

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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.