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Finding the Fourth Proportional to 11,784.50, 16,246.80 and 10,098.62

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Solution

The fourth proportional to 11,784.50, 16,246.80 and 10,098.62 is: 13,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.50 : 16,246.80 = 10,098.62 : x
  2. Step 2: Convert to fraction form
    11,784.50/16,246.80 = 10,098.62/x
  3. Step 3: Cross multiply
    11,784.50x = 16,246.80 × 10,098.62
  4. Step 4: Simplify right side
    11,784.50x = 164,070,178.18
  5. Step 5: Solve for x
    x = 164,070,178.18/11,784.50
  6. Step 6: Final answer
    x = 13,922.55

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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.