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Finding the Fourth Proportional to 16,477.16, 22,733.22 and 9,403.88

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Solution

The fourth proportional to 16,477.16, 22,733.22 and 9,403.88 is: 12,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.16 : 22,733.22 = 9,403.88 : x
  2. Step 2: Convert to fraction form
    16,477.16/22,733.22 = 9,403.88/x
  3. Step 3: Cross multiply
    16,477.16x = 22,733.22 × 9,403.88
  4. Step 4: Simplify right side
    16,477.16x = 213,780,472.89
  5. Step 5: Solve for x
    x = 213,780,472.89/16,477.16
  6. Step 6: Final answer
    x = 12,974.35

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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.