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Finding the Fourth Proportional to 14,285.70, 21,431.61 and 7,266.69

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Solution

The fourth proportional to 14,285.70, 21,431.61 and 7,266.69 is: 10,901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.70 : 21,431.61 = 7,266.69 : x
  2. Step 2: Convert to fraction form
    14,285.70/21,431.61 = 7,266.69/x
  3. Step 3: Cross multiply
    14,285.70x = 21,431.61 × 7,266.69
  4. Step 4: Simplify right side
    14,285.70x = 155,736,866.07
  5. Step 5: Solve for x
    x = 155,736,866.07/14,285.70
  6. Step 6: Final answer
    x = 10,901.59

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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.