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Finding the Fourth Proportional to 14,596.68, 21,875.99 and 6,696.35

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Solution

The fourth proportional to 14,596.68, 21,875.99 and 6,696.35 is: 10,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.68 : 21,875.99 = 6,696.35 : x
  2. Step 2: Convert to fraction form
    14,596.68/21,875.99 = 6,696.35/x
  3. Step 3: Cross multiply
    14,596.68x = 21,875.99 × 6,696.35
  4. Step 4: Simplify right side
    14,596.68x = 146,489,142.77
  5. Step 5: Solve for x
    x = 146,489,142.77/14,596.68
  6. Step 6: Final answer
    x = 10,035.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.