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Finding the Fourth Proportional to 12,215.50, 16,841.10 and 9,705.94

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Solution

The fourth proportional to 12,215.50, 16,841.10 and 9,705.94 is: 13,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.50 : 16,841.10 = 9,705.94 : x
  2. Step 2: Convert to fraction form
    12,215.50/16,841.10 = 9,705.94/x
  3. Step 3: Cross multiply
    12,215.50x = 16,841.10 × 9,705.94
  4. Step 4: Simplify right side
    12,215.50x = 163,458,706.13
  5. Step 5: Solve for x
    x = 163,458,706.13/12,215.50
  6. Step 6: Final answer
    x = 13,381.25

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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.