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Finding the Fourth Proportional to 16,309.60, 22,511.67 and 9,597.38

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Solution

The fourth proportional to 16,309.60, 22,511.67 and 9,597.38 is: 13,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.60 : 22,511.67 = 9,597.38 : x
  2. Step 2: Convert to fraction form
    16,309.60/22,511.67 = 9,597.38/x
  3. Step 3: Cross multiply
    16,309.60x = 22,511.67 × 9,597.38
  4. Step 4: Simplify right side
    16,309.60x = 216,053,051.42
  5. Step 5: Solve for x
    x = 216,053,051.42/16,309.60
  6. Step 6: Final answer
    x = 13,246.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.