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Finding the Fourth Proportional to 16,312.22, 22,515.30 and 9,600

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Solution

The fourth proportional to 16,312.22, 22,515.30 and 9,600 is: 13,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.22 : 22,515.30 = 9,600 : x
  2. Step 2: Convert to fraction form
    16,312.22/22,515.30 = 9,600/x
  3. Step 3: Cross multiply
    16,312.22x = 22,515.30 × 9,600
  4. Step 4: Simplify right side
    16,312.22x = 216,146,880
  5. Step 5: Solve for x
    x = 216,146,880/16,312.22
  6. Step 6: Final answer
    x = 13,250.61

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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.