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Finding the Fourth Proportional to 11,883.60, 17,803.80 and 9,680.40

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Solution

The fourth proportional to 11,883.60, 17,803.80 and 9,680.40 is: 14,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.60 : 17,803.80 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    11,883.60/17,803.80 = 9,680.40/x
  3. Step 3: Cross multiply
    11,883.60x = 17,803.80 × 9,680.40
  4. Step 4: Simplify right side
    11,883.60x = 172,347,905.52
  5. Step 5: Solve for x
    x = 172,347,905.52/11,883.60
  6. Step 6: Final answer
    x = 14,503.00

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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.