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Finding the Fourth Proportional to 12,105.88, 16,706.05 and 7,070.31

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Solution

The fourth proportional to 12,105.88, 16,706.05 and 7,070.31 is: 9,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.88 : 16,706.05 = 7,070.31 : x
  2. Step 2: Convert to fraction form
    12,105.88/16,706.05 = 7,070.31/x
  3. Step 3: Cross multiply
    12,105.88x = 16,706.05 × 7,070.31
  4. Step 4: Simplify right side
    12,105.88x = 118,116,934.70
  5. Step 5: Solve for x
    x = 118,116,934.70/12,105.88
  6. Step 6: Final answer
    x = 9,756.99

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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.