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Finding the Fourth Proportional to 24,884.82, 34,341.04 and 13,706.82

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Solution

The fourth proportional to 24,884.82, 34,341.04 and 13,706.82 is: 18,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.82 : 34,341.04 = 13,706.82 : x
  2. Step 2: Convert to fraction form
    24,884.82/34,341.04 = 13,706.82/x
  3. Step 3: Cross multiply
    24,884.82x = 34,341.04 × 13,706.82
  4. Step 4: Simplify right side
    24,884.82x = 470,706,282.19
  5. Step 5: Solve for x
    x = 470,706,282.19/24,884.82
  6. Step 6: Final answer
    x = 18,915.40

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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.