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Finding the Fourth Proportional to 13,795.70, 19,037.84 and 12,666

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Solution

The fourth proportional to 13,795.70, 19,037.84 and 12,666 is: 17,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.70 : 19,037.84 = 12,666 : x
  2. Step 2: Convert to fraction form
    13,795.70/19,037.84 = 12,666/x
  3. Step 3: Cross multiply
    13,795.70x = 19,037.84 × 12,666
  4. Step 4: Simplify right side
    13,795.70x = 241,133,218.11
  5. Step 5: Solve for x
    x = 241,133,218.11/13,795.70
  6. Step 6: Final answer
    x = 17,478.87

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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.