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Finding the Fourth Proportional to 16,314, 22,511.41 and 9,598.15

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Solution

The fourth proportional to 16,314, 22,511.41 and 9,598.15 is: 13,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 22,511.41 = 9,598.15 : x
  2. Step 2: Convert to fraction form
    16,314/22,511.41 = 9,598.15/x
  3. Step 3: Cross multiply
    16,314x = 22,511.41 × 9,598.15
  4. Step 4: Simplify right side
    16,314x = 216,067,889.89
  5. Step 5: Solve for x
    x = 216,067,889.89/16,314
  6. Step 6: Final answer
    x = 13,244.32

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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.