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Finding the Fourth Proportional to 13,582.16, 20,365.56 and 8,036.24

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Solution

The fourth proportional to 13,582.16, 20,365.56 and 8,036.24 is: 12,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.16 : 20,365.56 = 8,036.24 : x
  2. Step 2: Convert to fraction form
    13,582.16/20,365.56 = 8,036.24/x
  3. Step 3: Cross multiply
    13,582.16x = 20,365.56 × 8,036.24
  4. Step 4: Simplify right side
    13,582.16x = 163,662,527.89
  5. Step 5: Solve for x
    x = 163,662,527.89/13,582.16
  6. Step 6: Final answer
    x = 12,049.82

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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.