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Finding the Fourth Proportional to 12,666.99, 19,003.79 and 7,406.50

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Solution

The fourth proportional to 12,666.99, 19,003.79 and 7,406.50 is: 11,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.99 : 19,003.79 = 7,406.50 : x
  2. Step 2: Convert to fraction form
    12,666.99/19,003.79 = 7,406.50/x
  3. Step 3: Cross multiply
    12,666.99x = 19,003.79 × 7,406.50
  4. Step 4: Simplify right side
    12,666.99x = 140,751,570.64
  5. Step 5: Solve for x
    x = 140,751,570.64/12,666.99
  6. Step 6: Final answer
    x = 11,111.68

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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.