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Finding the Fourth Proportional to 16,405.14, 22,657.98 and 11,948.82

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Solution

The fourth proportional to 16,405.14, 22,657.98 and 11,948.82 is: 16,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.14 : 22,657.98 = 11,948.82 : x
  2. Step 2: Convert to fraction form
    16,405.14/22,657.98 = 11,948.82/x
  3. Step 3: Cross multiply
    16,405.14x = 22,657.98 × 11,948.82
  4. Step 4: Simplify right side
    16,405.14x = 270,736,124.58
  5. Step 5: Solve for x
    x = 270,736,124.58/16,405.14
  6. Step 6: Final answer
    x = 16,503.13

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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.