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Finding the Fourth Proportional to 11,182.60, 16,749.60 and 9,724.60

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Solution

The fourth proportional to 11,182.60, 16,749.60 and 9,724.60 is: 14,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.60 : 16,749.60 = 9,724.60 : x
  2. Step 2: Convert to fraction form
    11,182.60/16,749.60 = 9,724.60/x
  3. Step 3: Cross multiply
    11,182.60x = 16,749.60 × 9,724.60
  4. Step 4: Simplify right side
    11,182.60x = 162,883,160.16
  5. Step 5: Solve for x
    x = 162,883,160.16/11,182.60
  6. Step 6: Final answer
    x = 14,565.77

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Why These Related Problems?

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