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Finding the Fourth Proportional to 14,084.66, 21,113.34 and 7,838.96

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Solution

The fourth proportional to 14,084.66, 21,113.34 and 7,838.96 is: 11,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.66 : 21,113.34 = 7,838.96 : x
  2. Step 2: Convert to fraction form
    14,084.66/21,113.34 = 7,838.96/x
  3. Step 3: Cross multiply
    14,084.66x = 21,113.34 × 7,838.96
  4. Step 4: Simplify right side
    14,084.66x = 165,506,627.73
  5. Step 5: Solve for x
    x = 165,506,627.73/14,084.66
  6. Step 6: Final answer
    x = 11,750.84

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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.