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Finding the Fourth Proportional to 13,146.40, 19,713.96 and 4,823.68

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Solution

The fourth proportional to 13,146.40, 19,713.96 and 4,823.68 is: 7,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.40 : 19,713.96 = 4,823.68 : x
  2. Step 2: Convert to fraction form
    13,146.40/19,713.96 = 4,823.68/x
  3. Step 3: Cross multiply
    13,146.40x = 19,713.96 × 4,823.68
  4. Step 4: Simplify right side
    13,146.40x = 95,093,834.57
  5. Step 5: Solve for x
    x = 95,093,834.57/13,146.40
  6. Step 6: Final answer
    x = 7,233.45

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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.