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Finding the Fourth Proportional to 10,864.21, 16,307.83 and 9,622.86

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Solution

The fourth proportional to 10,864.21, 16,307.83 and 9,622.86 is: 14,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.21 : 16,307.83 = 9,622.86 : x
  2. Step 2: Convert to fraction form
    10,864.21/16,307.83 = 9,622.86/x
  3. Step 3: Cross multiply
    10,864.21x = 16,307.83 × 9,622.86
  4. Step 4: Simplify right side
    10,864.21x = 156,927,964.99
  5. Step 5: Solve for x
    x = 156,927,964.99/10,864.21
  6. Step 6: Final answer
    x = 14,444.49

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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.