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Finding the Fourth Proportional to 16,303.56, 22,508.46 and 11,823

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Solution

The fourth proportional to 16,303.56, 22,508.46 and 11,823 is: 16,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.56 : 22,508.46 = 11,823 : x
  2. Step 2: Convert to fraction form
    16,303.56/22,508.46 = 11,823/x
  3. Step 3: Cross multiply
    16,303.56x = 22,508.46 × 11,823
  4. Step 4: Simplify right side
    16,303.56x = 266,117,522.58
  5. Step 5: Solve for x
    x = 266,117,522.58/16,303.56
  6. Step 6: Final answer
    x = 16,322.66

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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.