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Finding the Fourth Proportional to 14,299.50, 21,457.89 and 6,091.50

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Solution

The fourth proportional to 14,299.50, 21,457.89 and 6,091.50 is: 9,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.50 : 21,457.89 = 6,091.50 : x
  2. Step 2: Convert to fraction form
    14,299.50/21,457.89 = 6,091.50/x
  3. Step 3: Cross multiply
    14,299.50x = 21,457.89 × 6,091.50
  4. Step 4: Simplify right side
    14,299.50x = 130,710,736.94
  5. Step 5: Solve for x
    x = 130,710,736.94/14,299.50
  6. Step 6: Final answer
    x = 9,140.93

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Why These Related Problems?

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