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Finding the Fourth Proportional to 16,518, 24,780.24 and 7,284

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Solution

The fourth proportional to 16,518, 24,780.24 and 7,284 is: 10,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,518 : 24,780.24 = 7,284 : x
  2. Step 2: Convert to fraction form
    16,518/24,780.24 = 7,284/x
  3. Step 3: Cross multiply
    16,518x = 24,780.24 × 7,284
  4. Step 4: Simplify right side
    16,518x = 180,499,268.16
  5. Step 5: Solve for x
    x = 180,499,268.16/16,518
  6. Step 6: Final answer
    x = 10,927.43

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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.