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Finding the Fourth Proportional to 16,405.25, 22,639.98 and 9,237.63

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Solution

The fourth proportional to 16,405.25, 22,639.98 and 9,237.63 is: 12,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.25 : 22,639.98 = 9,237.63 : x
  2. Step 2: Convert to fraction form
    16,405.25/22,639.98 = 9,237.63/x
  3. Step 3: Cross multiply
    16,405.25x = 22,639.98 × 9,237.63
  4. Step 4: Simplify right side
    16,405.25x = 209,139,758.45
  5. Step 5: Solve for x
    x = 209,139,758.45/16,405.25
  6. Step 6: Final answer
    x = 12,748.34

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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.