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Finding the Fourth Proportional to 16,328.34, 22,538.16 and 9,613.44

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Solution

The fourth proportional to 16,328.34, 22,538.16 and 9,613.44 is: 13,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.34 : 22,538.16 = 9,613.44 : x
  2. Step 2: Convert to fraction form
    16,328.34/22,538.16 = 9,613.44/x
  3. Step 3: Cross multiply
    16,328.34x = 22,538.16 × 9,613.44
  4. Step 4: Simplify right side
    16,328.34x = 216,669,248.87
  5. Step 5: Solve for x
    x = 216,669,248.87/16,328.34
  6. Step 6: Final answer
    x = 13,269.52

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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.