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Finding the Fourth Proportional to 16,340.64, 22,549.26 and 9,267.72

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Solution

The fourth proportional to 16,340.64, 22,549.26 and 9,267.72 is: 12,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.64 : 22,549.26 = 9,267.72 : x
  2. Step 2: Convert to fraction form
    16,340.64/22,549.26 = 9,267.72/x
  3. Step 3: Cross multiply
    16,340.64x = 22,549.26 × 9,267.72
  4. Step 4: Simplify right side
    16,340.64x = 208,980,227.89
  5. Step 5: Solve for x
    x = 208,980,227.89/16,340.64
  6. Step 6: Final answer
    x = 12,788.99

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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.