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Finding the Fourth Proportional to 13,142.37, 19,688.01 and 11,669.79

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Solution

The fourth proportional to 13,142.37, 19,688.01 and 11,669.79 is: 17,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.37 : 19,688.01 = 11,669.79 : x
  2. Step 2: Convert to fraction form
    13,142.37/19,688.01 = 11,669.79/x
  3. Step 3: Cross multiply
    13,142.37x = 19,688.01 × 11,669.79
  4. Step 4: Simplify right side
    13,142.37x = 229,754,942.22
  5. Step 5: Solve for x
    x = 229,754,942.22/13,142.37
  6. Step 6: Final answer
    x = 17,482.00

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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.