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Finding the Fourth Proportional to 12,409.24, 18,610.80 and 7,412.98

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Solution

The fourth proportional to 12,409.24, 18,610.80 and 7,412.98 is: 11,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.24 : 18,610.80 = 7,412.98 : x
  2. Step 2: Convert to fraction form
    12,409.24/18,610.80 = 7,412.98/x
  3. Step 3: Cross multiply
    12,409.24x = 18,610.80 × 7,412.98
  4. Step 4: Simplify right side
    12,409.24x = 137,961,488.18
  5. Step 5: Solve for x
    x = 137,961,488.18/12,409.24
  6. Step 6: Final answer
    x = 11,117.64

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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.