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Finding the Fourth Proportional to 34,518, 51,767.28 and 11,141.40

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Solution

The fourth proportional to 34,518, 51,767.28 and 11,141.40 is: 16,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518 : 51,767.28 = 11,141.40 : x
  2. Step 2: Convert to fraction form
    34,518/51,767.28 = 11,141.40/x
  3. Step 3: Cross multiply
    34,518x = 51,767.28 × 11,141.40
  4. Step 4: Simplify right side
    34,518x = 576,759,973.39
  5. Step 5: Solve for x
    x = 576,759,973.39/34,518
  6. Step 6: Final answer
    x = 16,708.96

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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.