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Finding the Fourth Proportional to 16,202, 22,364.52 and 11,236.88

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Solution

The fourth proportional to 16,202, 22,364.52 and 11,236.88 is: 15,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 22,364.52 = 11,236.88 : x
  2. Step 2: Convert to fraction form
    16,202/22,364.52 = 11,236.88/x
  3. Step 3: Cross multiply
    16,202x = 22,364.52 × 11,236.88
  4. Step 4: Simplify right side
    16,202x = 251,307,427.50
  5. Step 5: Solve for x
    x = 251,307,427.50/16,202
  6. Step 6: Final answer
    x = 15,510.89

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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.