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Finding the Fourth Proportional to 12,586.19, 17,364.78 and 7,277.24

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Solution

The fourth proportional to 12,586.19, 17,364.78 and 7,277.24 is: 10,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.19 : 17,364.78 = 7,277.24 : x
  2. Step 2: Convert to fraction form
    12,586.19/17,364.78 = 7,277.24/x
  3. Step 3: Cross multiply
    12,586.19x = 17,364.78 × 7,277.24
  4. Step 4: Simplify right side
    12,586.19x = 126,367,715.02
  5. Step 5: Solve for x
    x = 126,367,715.02/12,586.19
  6. Step 6: Final answer
    x = 10,040.19

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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.