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Finding the Fourth Proportional to 12,106.54, 16,701 and 10,511.02

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Solution

The fourth proportional to 12,106.54, 16,701 and 10,511.02 is: 14,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.54 : 16,701 = 10,511.02 : x
  2. Step 2: Convert to fraction form
    12,106.54/16,701 = 10,511.02/x
  3. Step 3: Cross multiply
    12,106.54x = 16,701 × 10,511.02
  4. Step 4: Simplify right side
    12,106.54x = 175,544,545.02
  5. Step 5: Solve for x
    x = 175,544,545.02/12,106.54
  6. Step 6: Final answer
    x = 14,499.98

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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.