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Finding the Fourth Proportional to 16,891.76, 23,311.80 and 9,820.40

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Solution

The fourth proportional to 16,891.76, 23,311.80 and 9,820.40 is: 13,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.76 : 23,311.80 = 9,820.40 : x
  2. Step 2: Convert to fraction form
    16,891.76/23,311.80 = 9,820.40/x
  3. Step 3: Cross multiply
    16,891.76x = 23,311.80 × 9,820.40
  4. Step 4: Simplify right side
    16,891.76x = 228,931,200.72
  5. Step 5: Solve for x
    x = 228,931,200.72/16,891.76
  6. Step 6: Final answer
    x = 13,552.83

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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.