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Finding the Fourth Proportional to 14,123.89, 19,491.14 and 7,750.07

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Solution

The fourth proportional to 14,123.89, 19,491.14 and 7,750.07 is: 10,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.89 : 19,491.14 = 7,750.07 : x
  2. Step 2: Convert to fraction form
    14,123.89/19,491.14 = 7,750.07/x
  3. Step 3: Cross multiply
    14,123.89x = 19,491.14 × 7,750.07
  4. Step 4: Simplify right side
    14,123.89x = 151,057,694.39
  5. Step 5: Solve for x
    x = 151,057,694.39/14,123.89
  6. Step 6: Final answer
    x = 10,695.19

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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.