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Finding the Fourth Proportional to 24,684.75, 34,065.78 and 13,506.75

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Solution

The fourth proportional to 24,684.75, 34,065.78 and 13,506.75 is: 18,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.75 : 34,065.78 = 13,506.75 : x
  2. Step 2: Convert to fraction form
    24,684.75/34,065.78 = 13,506.75/x
  3. Step 3: Cross multiply
    24,684.75x = 34,065.78 × 13,506.75
  4. Step 4: Simplify right side
    24,684.75x = 460,117,974.02
  5. Step 5: Solve for x
    x = 460,117,974.02/24,684.75
  6. Step 6: Final answer
    x = 18,639.77

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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.